993152160 has 864 divisors, whose sum is σ = 4661774208. Its totient is φ = 186900480.

The previous prime is 993152137. The next prime is 993152179. The reversal of 993152160 is 61251399.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18738694 + ... + 18738746.

It is an arithmetic number, because the mean of its divisors is an integer number (5395572).

Almost surely, 2^993152160 is an apocalyptic number.

993152160 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 993152160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2330887104).

993152160 is an abundant number, since it is smaller than the sum of its proper divisors (3668622048).

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

993152160 is a wasteful number, since it uses less digits than its factorization.

993152160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 993152160 is about 31514.3167465201. The cubic root of 993152160 is about 997.7121564302.

It can be divided in two parts, 99315 and 2160, that added together give a triangular number (101475 = T₄₅₀).

The spelling of 993152160 in words is "nine hundred ninety-three million, one hundred fifty-two thousand, one hundred sixty".