212992920 has 96 divisors (see below), whose sum is σ = 791125920. Its totient is φ = 48683520.

The previous prime is 212992919. The next prime is 212992921. The reversal of 212992920 is 29299212.

It is an interprime number because it is at equal distance from previous prime (212992919) and next prime (212992921).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212992921) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 39741 + ... + 44780.

It is an arithmetic number, because the mean of its divisors is an integer number (8240895).

Almost surely, 2^212992920 is an apocalyptic number.

212992920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212992920 is an abundant number, since it is smaller than the sum of its proper divisors (578133000).

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

212992920 is a wasteful number, since it uses less digits than its factorization.

212992920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84545 (or 84538 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 212992920 is about 14594.2769605075. The cubic root of 212992920 is about 597.2026449429.

The spelling of 212992920 in words is "two hundred twelve million, nine hundred ninety-two thousand, nine hundred twenty".