213524640 has 384 divisors, whose sum is σ = 894136320. Its totient is φ = 46531584.

The previous prime is 213524639. The next prime is 213524653. The reversal of 213524640 is 46425312.

213524640 is a `hidden beast` number, since 2 + 13 + 5 + 2 + 4 + 640 = 666.

213524640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 695367 + ... + 695673.

It is an arithmetic number, because the mean of its divisors is an integer number (2328480).

Almost surely, 2^213524640 is an apocalyptic number.

213524640 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 213524640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447068160).

213524640 is an abundant number, since it is smaller than the sum of its proper divisors (680611680).

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

213524640 is a wasteful number, since it uses less digits than its factorization.

213524640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 213524640 is about 14612.4823353187. The cubic root of 213524640 is about 597.6991883875.

Adding to 213524640 its reverse (46425312), we get a palindrome (259949952).

The spelling of 213524640 in words is "two hundred thirteen million, five hundred twenty-four thousand, six hundred forty".