213618720 has 96 divisors (see below), whose sum is σ = 769039488. Its totient is φ = 48826368.

The previous prime is 213618707. The next prime is 213618749. The reversal of 213618720 is 27816312.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 28429 + ... + 35148.

It is an arithmetic number, because the mean of its divisors is an integer number (8010828).

Almost surely, 2^213618720 is an apocalyptic number.

213618720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213618720 is an abundant number, since it is smaller than the sum of its proper divisors (555420768).

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

213618720 is a wasteful number, since it uses less digits than its factorization.

213618720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63602 (or 63594 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 213618720 is about 14615.7011463700. The cubic root of 213618720 is about 597.7869585594.

The spelling of 213618720 in words is "two hundred thirteen million, six hundred eighteen thousand, seven hundred twenty".