20151936 has 256 divisors, whose sum is σ = 73440000. Its totient is φ = 5419008.

The previous prime is 20151931. The next prime is 20151947. The reversal of 20151936 is 63915102.

It is a super-2 number, since 2×20151936² = 812201049096192, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (20151931) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1185400 + ... + 1185416.

It is an arithmetic number, because the mean of its divisors is an integer number (286875).

Almost surely, 2^20151936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20151936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36720000).

20151936 is an abundant number, since it is smaller than the sum of its proper divisors (53288064).

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

20151936 is an equidigital number, since it uses as much as digits as its factorization.

20151936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 20151936 is about 4489.0907765382. The cubic root of 20151936 is about 272.1273913073.

The spelling of 20151936 in words is "twenty million, one hundred fifty-one thousand, nine hundred thirty-six".