746856 has 96 divisors (see below), whose sum is σ = 2358720. Its totient is φ = 211200.

The previous prime is 746843. The next prime is 746869. The reversal of 746856 is 658647.

It is a happy number.

746856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (746843) and next prime (746869).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (40320) is a multiple of the sum of its prime divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 746856.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 746856.

It is an unprimeable number.

746856 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18196 + ... + 18236.

It is an arithmetic number, because the mean of its divisors is an integer number (24570).

2⁷⁴⁶⁸⁵⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 746856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179360).

746856 is an abundant number, since it is smaller than the sum of its proper divisors (1611864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

746856 is a wasteful number, since it uses less digits than its factorization.

746856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 80 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 746856 is about 864.2083082220. The cubic root of 746856 is about 90.7288956685.

Subtracting from 746856 its reverse (658647), we obtain a square (88209 = 297²).

It can be divided in two parts, 74685 and 6, that added together give a triangular number (74691 = T₃₈₆).

The spelling of 746856 in words is "seven hundred forty-six thousand, eight hundred fifty-six".