213807360 has 144 divisors (see below), whose sum is σ = 735545664. Its totient is φ = 52617216.

The previous prime is 213807359. The next prime is 213807397. The reversal of 213807360 is 63708312.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 47779 + ... + 52061.

It is an arithmetic number, because the mean of its divisors is an integer number (5107956).

Almost surely, 2^213807360 is an apocalyptic number.

213807360 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 213807360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367772832).

213807360 is an abundant number, since it is smaller than the sum of its proper divisors (521738304).

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

213807360 is a wasteful number, since it uses less digits than its factorization.

213807360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4320 (or 4306 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 213807360 is about 14622.1530562363. The cubic root of 213807360 is about 597.9628691016.

The spelling of 213807360 in words is "two hundred thirteen million, eight hundred seven thousand, three hundred sixty".