212574640 has 80 divisors (see below), whose sum is σ = 520279200. Its totient is φ = 80654336.

The previous prime is 212574587. The next prime is 212574697. The reversal of 212574640 is 46475212.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×212574640² = 90375955142259200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136104 + ... + 137656.

It is an arithmetic number, because the mean of its divisors is an integer number (6503490).

Almost surely, 2^212574640 is an apocalyptic number.

212574640 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 212574640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260139600).

212574640 is an abundant number, since it is smaller than the sum of its proper divisors (307704560).

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

212574640 is a wasteful number, since it uses less digits than its factorization.

212574640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 212574640 is about 14579.9396432221. The cubic root of 212574640 is about 596.8114556951.

The spelling of 212574640 in words is "two hundred twelve million, five hundred seventy-four thousand, six hundred forty".