213813960 has 32 divisors (see below), whose sum is σ = 641442240. Its totient is φ = 57017024.

The previous prime is 213813949. The next prime is 213813979. The reversal of 213813960 is 69318312.

213813960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 890772 + ... + 891011.

It is an arithmetic number, because the mean of its divisors is an integer number (20045070).

Almost surely, 2^213813960 is an apocalyptic number.

213813960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213813960 is an abundant number, since it is smaller than the sum of its proper divisors (427628280).

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

213813960 is a wasteful number, since it uses less digits than its factorization.

213813960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1781797 (or 1781793 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 213813960 is about 14622.3787394528. The cubic root of 213813960 is about 597.9690218588.

The spelling of 213813960 in words is "two hundred thirteen million, eight hundred thirteen thousand, nine hundred sixty".