20212864 has 64 divisors (see below), whose sum is σ = 48764160. Its totient is φ = 8146944.

The previous prime is 20212853. The next prime is 20212889. The reversal of 20212864 is 46821202.

It is a happy number.

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

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, 14569 + ... + 15895.

It is an arithmetic number, because the mean of its divisors is an integer number (761940).

Almost surely, 2^20212864 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 20212864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24382080).

20212864 is an abundant number, since it is smaller than the sum of its proper divisors (28551296).

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

20212864 is a wasteful number, since it uses less digits than its factorization.

20212864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 20212864 is about 4495.8718842956. The cubic root of 20212864 is about 272.4013682266.

The spelling of 20212864 in words is "twenty million, two hundred twelve thousand, eight hundred sixty-four".