746624 has 32 divisors (see below), whose sum is σ = 1570800. Its totient is φ = 352512.

The previous prime is 746597. The next prime is 746653. The reversal of 746624 is 426647.

It is a tau number, because it is divible by the number of its divisors (32).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 746624.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2279 + ... + 2585.

746624 is a Friedman number, since it can be written as 6^6*4*4+2^7, using all its digits and the basic arithmetic operations.

2⁷⁴⁶⁶²⁴ 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 746624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785400).

746624 is an abundant number, since it is smaller than the sum of its proper divisors (824176).

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

746624 is a wasteful number, since it uses less digits than its factorization.

746624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 328 counting only the distinct ones).

The product of its digits is 8064, while the sum is 29.

The square root of 746624 is about 864.0740708990. The cubic root of 746624 is about 90.7195001564.

The spelling of 746624 in words is "seven hundred forty-six thousand, six hundred twenty-four".