213648960 has 112 divisors (see below), whose sum is σ = 775264896. Its totient is φ = 48832512.

The previous prime is 213648959. The next prime is 213649019. The reversal of 213648960 is 69846312.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9177 + ... + 22616.

It is an arithmetic number, because the mean of its divisors is an integer number (6922008).

Almost surely, 2^213648960 is an apocalyptic number.

213648960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213648960 is an abundant number, since it is smaller than the sum of its proper divisors (561615936).

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

213648960 is a wasteful number, since it uses less digits than its factorization.

213648960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31820 (or 31810 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 213648960 is about 14616.7356136724. The cubic root of 213648960 is about 597.8151649274.

The spelling of 213648960 in words is "two hundred thirteen million, six hundred forty-eight thousand, nine hundred sixty".