213703360 has 112 divisors (see below), whose sum is σ = 560198016. Its totient is φ = 77156352.

The previous prime is 213703307. The next prime is 213703363. The reversal of 213703360 is 63307312.

213703360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (213703363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194974 + ... + 196066.

It is an arithmetic number, because the mean of its divisors is an integer number (5001768).

Almost surely, 2^213703360 is an apocalyptic number.

213703360 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 213703360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280099008).

213703360 is an abundant number, since it is smaller than the sum of its proper divisors (346494656).

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

213703360 is a wasteful number, since it uses less digits than its factorization.

213703360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 25.

The square root of 213703360 is about 14618.5963758495. The cubic root of 213703360 is about 597.8658998419.

The spelling of 213703360 in words is "two hundred thirteen million, seven hundred three thousand, three hundred sixty".