753696 has 36 divisors (see below), whose sum is σ = 2144142. Its totient is φ = 251136.

The previous prime is 753691. The next prime is 753707. The reversal of 753696 is 696357.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 435600 + 318096 = 660^2 + 564^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 753696.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 753696.

It is not an unprimeable number, because it can be changed into a prime (753691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1021 + ... + 1596.

2⁷⁵³⁶⁹⁶ is an apocalyptic number.

It is an amenable number.

753696 is an abundant number, since it is smaller than the sum of its proper divisors (1390446).

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

753696 is a wasteful number, since it uses less digits than its factorization.

753696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2633 (or 2622 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 753696 is about 868.1566678889. The cubic root of 753696 is about 91.0050313203.

The spelling of 753696 in words is "seven hundred fifty-three thousand, six hundred ninety-six".