212374080 has 168 divisors, whose sum is σ = 750597432. Its totient is φ = 55074816.

The previous prime is 212374061. The next prime is 212374091. The reversal of 212374080 is 80473212.

212374080 is a `hidden beast` number, since 21 + 237 + 408 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 81866304 + 130507776 = 9048^2 + 11424^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105564 + ... + 107556.

Almost surely, 2^212374080 is an apocalyptic number.

212374080 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 212374080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375298716).

212374080 is an abundant number, since it is smaller than the sum of its proper divisors (538223352).

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

212374080 is a wasteful number, since it uses less digits than its factorization.

212374080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 212374080 is about 14573.0600767306. The cubic root of 212374080 is about 596.6237033382.

The spelling of 212374080 in words is "two hundred twelve million, three hundred seventy-four thousand, eighty".