921080160 has 960 divisors, whose sum is σ = 4425974784. Its totient is φ = 174182400.

The previous prime is 921080159. The next prime is 921080161. The reversal of 921080160 is 61080129.

It is an interprime number because it is at equal distance from previous prime (921080159) and next prime (921080161).

It is a super-2 number, since 2×921080160² = 1696777322291251200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (921080161) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12972925 + ... + 12972995.

Almost surely, 2^921080160 is an apocalyptic number.

921080160 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 921080160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2212987392).

921080160 is an abundant number, since it is smaller than the sum of its proper divisors (3504894624).

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

921080160 is a wasteful number, since it uses less digits than its factorization.

921080160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 921080160 is about 30349.3024631539. The cubic root of 921080160 is about 972.9693119682.

The spelling of 921080160 in words is "nine hundred twenty-one million, eighty thousand, one hundred sixty".