20088864 has 48 divisors (see below), whose sum is σ = 58595040. Its totient is φ = 6696000.

The previous prime is 20088841. The next prime is 20088911. The reversal of 20088864 is 46888002.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×20088864³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10762 + ... + 12489.

It is an arithmetic number, because the mean of its divisors is an integer number (1220730).

Almost surely, 2^20088864 is an apocalyptic number.

20088864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20088864 is an abundant number, since it is smaller than the sum of its proper divisors (38506176).

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

20088864 is a wasteful number, since it uses less digits than its factorization.

20088864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23270 (or 23256 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 20088864 is about 4482.0602405590. The cubic root of 20088864 is about 271.8431910467.

The spelling of 20088864 in words is "twenty million, eighty-eight thousand, eight hundred sixty-four".