213108720 has 160 divisors (see below), whose sum is σ = 729596160. Its totient is φ = 51025920.

The previous prime is 213108691. The next prime is 213108737. The reversal of 213108720 is 27801312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234507 + ... + 235413.

It is an arithmetic number, because the mean of its divisors is an integer number (4559976).

Almost surely, 2^213108720 is an apocalyptic number.

213108720 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 213108720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364798080).

213108720 is an abundant number, since it is smaller than the sum of its proper divisors (516487440).

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

213108720 is a wasteful number, since it uses less digits than its factorization.

213108720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 213108720 is about 14598.2437299834. The cubic root of 213108720 is about 597.3108543881.

The spelling of 213108720 in words is "two hundred thirteen million, one hundred eight thousand, seven hundred twenty".