965220624 has 75 divisors (see below), whose sum is σ = 2796869383. Its totient is φ = 321367392.

The previous prime is 965220593. The next prime is 965220631. The reversal of 965220624 is 426022569.

The square root of 965220624 is 31068.

It is a perfect power (a square), and thus also a powerful number.

965220624 is a `hidden beast` number, since 9 + 6 + 5 + 2 + 20 + 624 = 666.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1118017 + ... + 1118879.

Almost surely, 2^965220624 is an apocalyptic number.

965220624 is the 31068-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 965220624

965220624 is an abundant number, since it is smaller than the sum of its proper divisors (1831648759).

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

965220624 is an frugal number, since it uses more digits than its factorization.

965220624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The cubic root of 965220624 is about 988.2698154507.

Multiplying 965220624 by its sum of digits (36), we get a square (34747942464 = 186408²).

965220624 divided by its sum of digits (36) gives a square (26811684 = 5178²).

It can be divided in two parts, 9652 and 20624, that added together give a square (30276 = 174²).

The spelling of 965220624 in words is "nine hundred sixty-five million, two hundred twenty thousand, six hundred twenty-four".