213587880 has 256 divisors, whose sum is σ = 739031040. Its totient is φ = 48921600.

The previous prime is 213587879. The next prime is 213587887. The reversal of 213587880 is 88785312.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (213587887) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3008245 + ... + 3008315.

It is an arithmetic number, because the mean of its divisors is an integer number (2886840).

Almost surely, 2^213587880 is an apocalyptic number.

213587880 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 213587880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369515520).

213587880 is an abundant number, since it is smaller than the sum of its proper divisors (525443160).

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

213587880 is a wasteful number, since it uses less digits than its factorization.

213587880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 213587880 is about 14614.6460785063. The cubic root of 213587880 is about 597.7581897994.

The spelling of 213587880 in words is "two hundred thirteen million, five hundred eighty-seven thousand, eight hundred eighty".