213580920 has 128 divisors (see below), whose sum is σ = 735920640. Its totient is φ = 48576000.

The previous prime is 213580891. The next prime is 213580933. The reversal of 213580920 is 29085312.

It is a happy number.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210334 + ... + 211346.

It is an arithmetic number, because the mean of its divisors is an integer number (5749380).

Almost surely, 2^213580920 is an apocalyptic number.

213580920 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 213580920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367960320).

213580920 is an abundant number, since it is smaller than the sum of its proper divisors (522339720).

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

213580920 is a wasteful number, since it uses less digits than its factorization.

213580920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 213580920 is about 14614.4079592709. The cubic root of 213580920 is about 597.7516968558.

The spelling of 213580920 in words is "two hundred thirteen million, five hundred eighty thousand, nine hundred twenty".