213912960 has 128 divisors (see below), whose sum is σ = 697973760. Its totient is φ = 55695360.

The previous prime is 213912899. The next prime is 213913043. The reversal of 213912960 is 69219312.

It is a tau number, because it is divible by the number of its divisors (128).

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, 81265 + ... + 83855.

It is an arithmetic number, because the mean of its divisors is an integer number (5452920).

Almost surely, 2^213912960 is an apocalyptic number.

213912960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213912960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348986880).

213912960 is an abundant number, since it is smaller than the sum of its proper divisors (484060800).

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

213912960 is a wasteful number, since it uses less digits than its factorization.

213912960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2656 (or 2644 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 213912960 is about 14625.7635698106. The cubic root of 213912960 is about 598.0612980270.

The spelling of 213912960 in words is "two hundred thirteen million, nine hundred twelve thousand, nine hundred sixty".