960636624 has 80 divisors (see below), whose sum is σ = 2568793920. Its totient is φ = 309104640.

The previous prime is 960636583. The next prime is 960636631. The reversal of 960636624 is 426636069.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230592 + ... + 234720.

It is an arithmetic number, because the mean of its divisors is an integer number (32109924).

Almost surely, 2^960636624 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 960636624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284396960).

960636624 is an abundant number, since it is smaller than the sum of its proper divisors (1608157296).

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

960636624 is a wasteful number, since it uses less digits than its factorization.

960636624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4308 (or 4302 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 42.

The square root of 960636624 is about 30994.1385426342. The cubic root of 960636624 is about 986.7028440188.

The spelling of 960636624 in words is "nine hundred sixty million, six hundred thirty-six thousand, six hundred twenty-four".