993104160 has 96 divisors (see below), whose sum is σ = 3292954560. Its totient is φ = 250887168.

The previous prime is 993104137. The next prime is 993104183. The reversal of 993104160 is 61401399.

It is an interprime number because it is at equal distance from previous prime (993104137) and next prime (993104183).

It is a tau number, because it is divible by the number of its divisors (96).

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, 45327 + ... + 63566.

It is an arithmetic number, because the mean of its divisors is an integer number (34301610).

Almost surely, 2^993104160 is an apocalyptic number.

It is an amenable number.

993104160 is an abundant number, since it is smaller than the sum of its proper divisors (2299850400).

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

993104160 is a wasteful number, since it uses less digits than its factorization.

993104160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108930 (or 108922 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 993104160 is about 31513.5551786846. Note that the first 3 decimals coincide. The cubic root of 993104160 is about 997.6960827082.

The spelling of 993104160 in words is "nine hundred ninety-three million, one hundred four thousand, one hundred sixty".