212815080 has 128 divisors (see below), whose sum is σ = 716774400. Its totient is φ = 56160000.

The previous prime is 212815039. The next prime is 212815091. The reversal of 212815080 is 80518212.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108105 + ... + 110055.

It is an arithmetic number, because the mean of its divisors is an integer number (5599800).

Almost surely, 2^212815080 is an apocalyptic number.

212815080 is a gapful number since it is divisible by the number (20) 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 212815080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358387200).

212815080 is an abundant number, since it is smaller than the sum of its proper divisors (503959320).

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

212815080 is a wasteful number, since it uses less digits than its factorization.

212815080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2072 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 212815080 is about 14588.1828889002. The cubic root of 212815080 is about 597.0363857523.

The spelling of 212815080 in words is "two hundred twelve million, eight hundred fifteen thousand, eighty".