213947520 has 64 divisors (see below), whose sum is σ = 681963840. Its totient is φ = 57052160.

The previous prime is 213947507. The next prime is 213947527. The reversal of 213947520 is 25749312.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (213947527) 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, 53796 + ... + 57635.

It is an arithmetic number, because the mean of its divisors is an integer number (10655685).

Almost surely, 2^213947520 is an apocalyptic number.

213947520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213947520 is an abundant number, since it is smaller than the sum of its proper divisors (468016320).

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

213947520 is a wasteful number, since it uses less digits than its factorization.

213947520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111453 (or 111441 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 213947520 is about 14626.9449988711. The cubic root of 213947520 is about 598.0935040941.

The spelling of 213947520 in words is "two hundred thirteen million, nine hundred forty-seven thousand, five hundred twenty".