213112560 has 80 divisors (see below), whose sum is σ = 663305760. Its totient is φ = 56601600.

The previous prime is 213112553. The next prime is 213112577. The reversal of 213112560 is 65211312.

It is a tau number, because it is divible by the number of its divisors (80).

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, 62910 + ... + 66210.

It is an arithmetic number, because the mean of its divisors is an integer number (8291322).

Almost surely, 2^213112560 is an apocalyptic number.

213112560 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 213112560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331652880).

213112560 is an abundant number, since it is smaller than the sum of its proper divisors (450193200).

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

213112560 is a wasteful number, since it uses less digits than its factorization.

213112560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3586 (or 3580 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 213112560 is about 14598.3752520614. The cubic root of 213112560 is about 597.3144420090.

Adding to 213112560 its reverse (65211312), we get a palindrome (278323872).

It can be divided in two parts, 21311 and 2560, that added together give a triangular number (23871 = T₂₁₈).

The spelling of 213112560 in words is "two hundred thirteen million, one hundred twelve thousand, five hundred sixty".