20610864 has 60 divisors (see below), whose sum is σ = 59105592. Its totient is φ = 6700800.

The previous prime is 20610859. The next prime is 20610881. The reversal of 20610864 is 46801602.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4159 + ... + 7649.

Almost surely, 2^20610864 is an apocalyptic number.

20610864 is a gapful number since it is divisible by the number (24) 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 20610864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29552796).

20610864 is an abundant number, since it is smaller than the sum of its proper divisors (38494728).

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

20610864 is a wasteful number, since it uses less digits than its factorization.

20610864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3546 (or 3537 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 20610864 is about 4539.9189420077. The cubic root of 20610864 is about 274.1776601910.

The spelling of 20610864 in words is "twenty million, six hundred ten thousand, eight hundred sixty-four".