213557264 has 120 divisors (see below), whose sum is σ = 487602720. Its totient is φ = 89994240.

The previous prime is 213557263. The next prime is 213557293. The reversal of 213557264 is 462755312.

Its product of digits (50400) is a multiple of the sum of its prime divisors (112).

It is not an unprimeable number, because it can be changed into a prime (213557261) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4966427 + ... + 4966469.

It is an arithmetic number, because the mean of its divisors is an integer number (4063356).

Almost surely, 2^213557264 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 213557264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243801360).

213557264 is an abundant number, since it is smaller than the sum of its proper divisors (274045456).

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

213557264 is a wasteful number, since it uses less digits than its factorization.

213557264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 112 counting only the distinct ones).

The product of its digits is 50400, while the sum is 35.

The square root of 213557264 is about 14613.5985985657. The cubic root of 213557264 is about 597.7296272560.

The spelling of 213557264 in words is "two hundred thirteen million, five hundred fifty-seven thousand, two hundred sixty-four".