746368 has 64 divisors (see below), whose sum is σ = 1836000. Its totient is φ = 301056.

The previous prime is 746363. The next prime is 746371. The reversal of 746368 is 863647.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (746363) by changing a digit.

746368 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, 43896 + ... + 43912.

746368 is a Friedman number, since it can be written as (3-7)*(8-6^6)*4, using all its digits and the basic arithmetic operations.

2⁷⁴⁶³⁶⁸ 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 746368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918000).

746368 is an abundant number, since it is smaller than the sum of its proper divisors (1089632).

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

746368 is an equidigital number, since it uses as much as digits as its factorization.

746368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 26 counting only the distinct ones).

The product of its digits is 24192, while the sum is 34.

The square root of 746368 is about 863.9259227503. The cubic root of 746368 is about 90.7091304358.

746368 divided by its sum of digits (34) gives a cube (21952 = 28³).

The spelling of 746368 in words is "seven hundred forty-six thousand, three hundred sixty-eight".