213413760 has 384 divisors, whose sum is σ = 865612800. Its totient is φ = 47443968.

The previous prime is 213413737. The next prime is 213413771. The reversal of 213413760 is 67314312.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2701401 + ... + 2701479.

It is an arithmetic number, because the mean of its divisors is an integer number (2254200).

Almost surely, 2^213413760 is an apocalyptic number.

213413760 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 213413760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432806400).

213413760 is an abundant number, since it is smaller than the sum of its proper divisors (652199040).

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

213413760 is a wasteful number, since it uses less digits than its factorization.

213413760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 213413760 is about 14608.6878260849. The cubic root of 213413760 is about 597.5957118664.

The spelling of 213413760 in words is "two hundred thirteen million, four hundred thirteen thousand, seven hundred sixty".