213264240 has 80 divisors (see below), whose sum is σ = 755570688. Its totient is φ = 48745728.

The previous prime is 213264223. The next prime is 213264251. The reversal of 213264240 is 42462312.

213264240 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 213264240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61792 + ... + 65151.

Almost surely, 2^213264240 is an apocalyptic number.

213264240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213264240 is an abundant number, since it is smaller than the sum of its proper divisors (542306448).

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

213264240 is a wasteful number, since it uses less digits than its factorization.

213264240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126966 (or 126960 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 213264240 is about 14603.5694266847. The cubic root of 213264240 is about 597.4561185773.

The spelling of 213264240 in words is "two hundred thirteen million, two hundred sixty-four thousand, two hundred forty".