213887520 has 384 divisors, whose sum is σ = 934778880. Its totient is φ = 44375040.

The previous prime is 213887483. The next prime is 213887561. The reversal of 213887520 is 25788312.

213887520 is a `hidden beast` number, since 21 + 38 + 87 + 520 = 666.

213887520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 332319 + ... + 332961.

It is an arithmetic number, because the mean of its divisors is an integer number (2434320).

Almost surely, 2^213887520 is an apocalyptic number.

213887520 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 213887520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467389440).

213887520 is an abundant number, since it is smaller than the sum of its proper divisors (720891360).

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

213887520 is a wasteful number, since it uses less digits than its factorization.

213887520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 213887520 is about 14624.8938457686. The cubic root of 213887520 is about 598.0375885665.

The spelling of 213887520 in words is "two hundred thirteen million, eight hundred eighty-seven thousand, five hundred twenty".