213531920 has 80 divisors (see below), whose sum is σ = 573379968. Its totient is φ = 72437760.

The previous prime is 213531887. The next prime is 213531943. The reversal of 213531920 is 29135312.

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

It is a self number, because there is not a number n which added to its sum of digits gives 213531920.

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, 52355 + ... + 56285.

Almost surely, 2^213531920 is an apocalyptic number.

213531920 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 213531920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286689984).

213531920 is an abundant number, since it is smaller than the sum of its proper divisors (359848048).

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

213531920 is a wasteful number, since it uses less digits than its factorization.

213531920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4048 (or 4042 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 213531920 is about 14612.7314352930. The cubic root of 213531920 is about 597.7059810472.

The spelling of 213531920 in words is "two hundred thirteen million, five hundred thirty-one thousand, nine hundred twenty".