746736 has 40 divisors (see below), whose sum is σ = 1976064. Its totient is φ = 242880.

The previous prime is 746723. The next prime is 746737. The reversal of 746736 is 637647.

746736 = T₂₇₉ + T₂₈₀ + ... + T₂₉₆.

746736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×746736² = 1115229307392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 746697 and 746706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (746737) by changing a digit.

746736 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 7 ways as a sum of consecutive naturals, for example, 2091 + ... + 2421.

2⁷⁴⁶⁷³⁶ 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 746736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988032).

746736 is an abundant number, since it is smaller than the sum of its proper divisors (1229328).

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

746736 is a wasteful number, since it uses less digits than its factorization.

746736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 383 counting only the distinct ones).

The product of its digits is 21168, while the sum is 33.

The square root of 746736 is about 864.1388777274. The cubic root of 746736 is about 90.7240361638.

It can be divided in two parts, 7467 and 36, that added together give a triangular number (7503 = T₁₂₂).

The spelling of 746736 in words is "seven hundred forty-six thousand, seven hundred thirty-six".