212968320 has 64 divisors (see below), whose sum is σ = 678842640. Its totient is φ = 56791040.

The previous prime is 212968313. The next prime is 212968361. The reversal of 212968320 is 23869212.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53541 + ... + 57380.

Almost surely, 2^212968320 is an apocalyptic number.

212968320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212968320 is an abundant number, since it is smaller than the sum of its proper divisors (465874320).

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

212968320 is a wasteful number, since it uses less digits than its factorization.

212968320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110943 (or 110931 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 212968320 is about 14593.4341400508. The cubic root of 212968320 is about 597.1796523935.

The spelling of 212968320 in words is "two hundred twelve million, nine hundred sixty-eight thousand, three hundred twenty".