212407680 has 64 divisors (see below), whose sum is σ = 677055600. Its totient is φ = 56641536.

The previous prime is 212407661. The next prime is 212407697. The reversal of 212407680 is 86704212.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53395 + ... + 57234.

Almost surely, 2^212407680 is an apocalyptic number.

212407680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212407680 is an abundant number, since it is smaller than the sum of its proper divisors (464647920).

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

212407680 is a wasteful number, since it uses less digits than its factorization.

212407680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110651 (or 110639 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 212407680 is about 14574.2128432379. The cubic root of 212407680 is about 596.6551659023.

It can be divided in two parts, 21240 and 7680, that added together give a triangular number (28920 = T₂₄₀).

The spelling of 212407680 in words is "two hundred twelve million, four hundred seven thousand, six hundred eighty".