213918960 has 40 divisors (see below), whose sum is σ = 663149520. Its totient is φ = 57044992.

The previous prime is 213918923. The next prime is 213918961. The reversal of 213918960 is 69819312.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×213918960² = 91522642894963200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213918961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 445425 + ... + 445904.

It is an arithmetic number, because the mean of its divisors is an integer number (16578738).

Almost surely, 2^213918960 is an apocalyptic number.

213918960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213918960 is an abundant number, since it is smaller than the sum of its proper divisors (449230560).

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

213918960 is a wasteful number, since it uses less digits than its factorization.

213918960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891345 (or 891339 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 213918960 is about 14625.9686858683. The cubic root of 213918960 is about 598.0668896069.

The spelling of 213918960 in words is "two hundred thirteen million, nine hundred eighteen thousand, nine hundred sixty".