20075136 has 64 divisors (see below), whose sum is σ = 55667520. Its totient is φ = 6397952.

The previous prime is 20075089. The next prime is 20075141. The reversal of 20075136 is 63157002.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×20075136² = 806022170836992, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7696 + ... + 9968.

It is an arithmetic number, because the mean of its divisors is an integer number (869805).

Almost surely, 2^20075136 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 20075136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27833760).

20075136 is an abundant number, since it is smaller than the sum of its proper divisors (35592384).

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

20075136 is a wasteful number, since it uses less digits than its factorization.

20075136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2313 (or 2301 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 20075136 is about 4480.5285402506. The cubic root of 20075136 is about 271.7812543484.

The spelling of 20075136 in words is "twenty million, seventy-five thousand, one hundred thirty-six".