212890624 has 88 divisors (see below), whose sum is σ = 450995040. Its totient is φ = 100294656.

The previous prime is 212890621. The next prime is 212890631. The reversal of 212890624 is 426098212.

It is a trimorphic number since its cube, 9648717803886414212890624, ends in 212890624.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 212890624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212890621) 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, 1989579 + ... + 1989685.

Almost surely, 2^212890624 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 212890624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225497520).

212890624 is an abundant number, since it is smaller than the sum of its proper divisors (238104416).

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

212890624 is a wasteful number, since it uses less digits than its factorization.

212890624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 212890624 is about 14590.7718781427. The cubic root of 212890624 is about 597.1070216945.

The spelling of 212890624 in words is "two hundred twelve million, eight hundred ninety thousand, six hundred twenty-four".