213439920 has 80 divisors (see below), whose sum is σ = 696503040. Its totient is φ = 53920512.

The previous prime is 213439907. The next prime is 213439943. The reversal of 213439920 is 29934312.

213439920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18844 + ... + 27963.

It is an arithmetic number, because the mean of its divisors is an integer number (8706288).

Almost surely, 2^213439920 is an apocalyptic number.

213439920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213439920 is an abundant number, since it is smaller than the sum of its proper divisors (483063120).

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

213439920 is a wasteful number, since it uses less digits than its factorization.

213439920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46842 (or 46836 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 213439920 is about 14609.5831562711. The cubic root of 213439920 is about 597.6201283880.

The spelling of 213439920 in words is "two hundred thirteen million, four hundred thirty-nine thousand, nine hundred twenty".