213387880 has 64 divisors (see below), whose sum is σ = 509114880. Its totient is φ = 80352000.

The previous prime is 213387877. The next prime is 213387929. The reversal of 213387880 is 88783312.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43555 + ... + 48205.

It is an arithmetic number, because the mean of its divisors is an integer number (7954920).

Almost surely, 2^213387880 is an apocalyptic number.

213387880 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 213387880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254557440).

213387880 is an abundant number, since it is smaller than the sum of its proper divisors (295727000).

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

213387880 is a wasteful number, since it uses less digits than its factorization.

213387880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4730 (or 4726 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 213387880 is about 14607.8020249454. The cubic root of 213387880 is about 597.5715547201.

The spelling of 213387880 in words is "two hundred thirteen million, three hundred eighty-seven thousand, eight hundred eighty".