213482880 has 192 divisors, whose sum is σ = 794167920. Its totient is φ = 52531200.

The previous prime is 213482873. The next prime is 213482903. The reversal of 213482880 is 88284312.

It is a happy number.

213482880 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 (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 73455 + ... + 76305.

Almost surely, 2^213482880 is an apocalyptic number.

213482880 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 213482880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397083960).

213482880 is an abundant number, since it is smaller than the sum of its proper divisors (580685040).

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

213482880 is a wasteful number, since it uses less digits than its factorization.

213482880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2889 (or 2874 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 213482880 is about 14611.0533501182. The cubic root of 213482880 is about 597.6602209168.

The spelling of 213482880 in words is "two hundred thirteen million, four hundred eighty-two thousand, eight hundred eighty".