20936160 has 288 divisors, whose sum is σ = 85542912. Its totient is φ = 4561920.

The previous prime is 20936137. The next prime is 20936171. The reversal of 20936160 is 6163902.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312447 + ... + 312513.

It is an arithmetic number, because the mean of its divisors is an integer number (297024).

Almost surely, 2^20936160 is an apocalyptic number.

20936160 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 20936160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42771456).

20936160 is an abundant number, since it is smaller than the sum of its proper divisors (64606752).

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

20936160 is a wasteful number, since it uses less digits than its factorization.

20936160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 20936160 is about 4575.6048780462. The cubic root of 20936160 is about 275.6125628769.

The spelling of 20936160 in words is "twenty million, nine hundred thirty-six thousand, one hundred sixty".