212628864 has 64 divisors (see below), whose sum is σ = 645488640. Its totient is φ = 60750336.

The previous prime is 212628863. The next prime is 212628887. The reversal of 212628864 is 468826212.

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

It is a super-2 number, since 2×212628864² = 90422067611860992, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212628863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36864 + ... + 42239.

It is an arithmetic number, because the mean of its divisors is an integer number (10085760).

Almost surely, 2^212628864 is an apocalyptic number.

212628864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212628864 is an abundant number, since it is smaller than the sum of its proper divisors (432859776).

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

212628864 is an equidigital number, since it uses as much as digits as its factorization.

212628864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79127 (or 79115 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 212628864 is about 14581.7990659589. The cubic root of 212628864 is about 596.8621967010.

The spelling of 212628864 in words is "two hundred twelve million, six hundred twenty-eight thousand, eight hundred sixty-four".