20908160 has 128 divisors (see below), whose sum is σ = 61689600. Its totient is φ = 6598656.

The previous prime is 20908157. The next prime is 20908163. The reversal of 20908160 is 6180902.

It is an interprime number because it is at equal distance from previous prime (20908157) and next prime (20908163).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (20908163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58061 + ... + 58419.

It is an arithmetic number, because the mean of its divisors is an integer number (481950).

Almost surely, 2^20908160 is an apocalyptic number.

20908160 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 20908160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30844800).

20908160 is an abundant number, since it is smaller than the sum of its proper divisors (40781440).

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

20908160 is a wasteful number, since it uses less digits than its factorization.

20908160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 20908160 is about 4572.5441495955. The cubic root of 20908160 is about 275.4896400706.

The spelling of 20908160 in words is "twenty million, nine hundred eight thousand, one hundred sixty".