753664 has 32 divisors (see below), whose sum is σ = 1572840. Its totient is φ = 360448.

The previous prime is 753659. The next prime is 753677. The reversal of 753664 is 466357.

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

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32757 + ... + 32779.

753664 is a Friedman number, since it can be written as 46*(6-5+3)^7, using all its digits and the basic arithmetic operations.

2⁷⁵³⁶⁶⁴ 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 753664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786420).

753664 is an abundant number, since it is smaller than the sum of its proper divisors (819176).

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

753664 is an frugal number, since it uses more digits than its factorization.

753664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 25 counting only the distinct ones).

The product of its digits is 15120, while the sum is 31.

The square root of 753664 is about 868.1382378400. The cubic root of 753664 is about 91.0037433553.

The spelling of 753664 in words is "seven hundred fifty-three thousand, six hundred sixty-four".