213562720 has 96 divisors (see below), whose sum is σ = 595316736. Its totient is φ = 70848000.

The previous prime is 213562667. The next prime is 213562729. The reversal of 213562720 is 27265312.

213562720 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 (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213562729) 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, 31645 + ... + 37795.

It is an arithmetic number, because the mean of its divisors is an integer number (6201216).

Almost surely, 2^213562720 is an apocalyptic number.

213562720 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 213562720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297658368).

213562720 is an abundant number, since it is smaller than the sum of its proper divisors (381754016).

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

213562720 is a wasteful number, since it uses less digits than its factorization.

213562720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6204 (or 6196 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 213562720 is about 14613.7852728169. The cubic root of 213562720 is about 597.7347175146.

The spelling of 213562720 in words is "two hundred thirteen million, five hundred sixty-two thousand, seven hundred twenty".