993640960 has 160 divisors (see below), whose sum is σ = 2607176880. Its totient is φ = 360972288.

The previous prime is 993640943. The next prime is 993640981. The reversal of 993640960 is 69046399.

It can be written as a sum of positive squares in 8 ways, for example, as 508231936 + 485409024 = 22544^2 + 22032^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 993640960.

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, 2429236 + ... + 2429644.

Almost surely, 2^993640960 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 993640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303588440).

993640960 is an abundant number, since it is smaller than the sum of its proper divisors (1613535920).

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

993640960 is a wasteful number, since it uses less digits than its factorization.

993640960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 46.

The square root of 993640960 is about 31522.0709979532. The cubic root of 993640960 is about 997.8758110161.

The spelling of 993640960 in words is "nine hundred ninety-three million, six hundred forty thousand, nine hundred sixty".