20918160 has 120 divisors (see below), whose sum is σ = 74426040. Its totient is φ = 5246976.

The previous prime is 20918113. The next prime is 20918189. The reversal of 20918160 is 6181902.

It can be written as a sum of positive squares in 4 ways, for example, as 1838736 + 19079424 = 1356^2 + 4368^2 .

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

It is a congruent number.

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, 11386 + ... + 13094.

It is an arithmetic number, because the mean of its divisors is an integer number (620217).

Almost surely, 2^20918160 is an apocalyptic number.

20918160 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 20918160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37213020).

20918160 is an abundant number, since it is smaller than the sum of its proper divisors (53507880).

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

20918160 is a wasteful number, since it uses less digits than its factorization.

20918160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1745 (or 1736 counting only the distinct ones).

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

The square root of 20918160 is about 4573.6375020327. The cubic root of 20918160 is about 275.5335536640.

The spelling of 20918160 in words is "twenty million, nine hundred eighteen thousand, one hundred sixty".