213717840 has 160 divisors (see below), whose sum is σ = 790235136. Its totient is φ = 46717440.

The previous prime is 213717827. The next prime is 213717857. The reversal of 213717840 is 48717312.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 35875 + ... + 41405.

Almost surely, 2^213717840 is an apocalyptic number.

213717840 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 213717840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395117568).

213717840 is an abundant number, since it is smaller than the sum of its proper divisors (576517296).

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

213717840 is a wasteful number, since it uses less digits than its factorization.

213717840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5577 (or 5571 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 213717840 is about 14619.0916270471. The cubic root of 213717840 is about 597.8794028314.

The spelling of 213717840 in words is "two hundred thirteen million, seven hundred seventeen thousand, eight hundred forty".