212879664 has 70 divisors (see below), whose sum is σ = 618432516. Its totient is φ = 70956000.

The previous prime is 212879647. The next prime is 212879701. The reversal of 212879664 is 466978212.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2539 + ... + 20789.

Almost surely, 2^212879664 is an apocalyptic number.

212879664 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 212879664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309216258).

212879664 is an abundant number, since it is smaller than the sum of its proper divisors (405552852).

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

212879664 is an equidigital number, since it uses as much as digits as its factorization.

212879664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18277 (or 18256 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 212879664 is about 14590.3962934528. The cubic root of 212879664 is about 597.0967747969.

The spelling of 212879664 in words is "two hundred twelve million, eight hundred seventy-nine thousand, six hundred sixty-four".