213279600 has 120 divisors (see below), whose sum is σ = 691228080. Its totient is φ = 56207360.

The previous prime is 213279593. The next prime is 213279611. The reversal of 213279600 is 6972312.

213279600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105802 + ... + 107798.

It is an arithmetic number, because the mean of its divisors is an integer number (5760234).

Almost surely, 2^213279600 is an apocalyptic number.

213279600 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 213279600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345614040).

213279600 is an abundant number, since it is smaller than the sum of its proper divisors (477948480).

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

213279600 is a wasteful number, since it uses less digits than its factorization.

213279600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2107 (or 2096 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 213279600 is about 14604.0953160406. The cubic root of 213279600 is about 597.4704618253.

The spelling of 213279600 in words is "two hundred thirteen million, two hundred seventy-nine thousand, six hundred".