213652608 has 128 divisors (see below), whose sum is σ = 617809920. Its totient is φ = 65028096.

The previous prime is 213652601. The next prime is 213652613. The reversal of 213652608 is 806256312.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (213652601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 633816 + ... + 634152.

It is an arithmetic number, because the mean of its divisors is an integer number (4826640).

Almost surely, 2^213652608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213652608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308904960).

213652608 is an abundant number, since it is smaller than the sum of its proper divisors (404157312).

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

213652608 is a wasteful number, since it uses less digits than its factorization.

213652608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 213652608 is about 14616.8604016047. The cubic root of 213652608 is about 597.8185674205.

The spelling of 213652608 in words is "two hundred thirteen million, six hundred fifty-two thousand, six hundred eight".