20931120 has 120 divisors (see below), whose sum is σ = 80354976. Its totient is φ = 4783104.

The previous prime is 20931101. The next prime is 20931133. The reversal of 20931120 is 2113902.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×20931120² = 876223568908800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20931093 and 20931102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2964 + ... + 7116.

Almost surely, 2^20931120 is an apocalyptic number.

20931120 is a gapful number since it is divisible by the number (20) 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 20931120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40177488).

20931120 is an abundant number, since it is smaller than the sum of its proper divisors (59423856).

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

20931120 is a wasteful number, since it uses less digits than its factorization.

20931120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4179 (or 4170 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 20931120 is about 4575.0540980408. The cubic root of 20931120 is about 275.5904448636.

It can be divided in two parts, 209 and 31120, that added together give a square (31329 = 177²).

The spelling of 20931120 in words is "twenty million, nine hundred thirty-one thousand, one hundred twenty".