213792640 has 64 divisors (see below), whose sum is σ = 528768000. Its totient is φ = 82561024.

The previous prime is 213792587. The next prime is 213792653. The reversal of 213792640 is 46297312.

213792640 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 (64).

It is a junction number, because it is equal to n+sod(n) for n = 213792596 and 213792605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12801 + ... + 24319.

It is an arithmetic number, because the mean of its divisors is an integer number (8262000).

Almost surely, 2^213792640 is an apocalyptic number.

213792640 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 213792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264384000).

213792640 is an abundant number, since it is smaller than the sum of its proper divisors (314975360).

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

213792640 is a wasteful number, since it uses less digits than its factorization.

213792640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11567 (or 11555 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 213792640 is about 14621.6497017265. The cubic root of 213792640 is about 597.9491461324.

The spelling of 213792640 in words is "two hundred thirteen million, seven hundred ninety-two thousand, six hundred forty".