264537216 has 96 divisors (see below), whose sum is σ = 764903100. Its totient is φ = 87754752.

The previous prime is 264537211. The next prime is 264537227. The reversal of 264537216 is 612735462.

264537216 is a `hidden beast` number, since 2 + 645 + 3 + 7 + 2 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 259338816 + 5198400 = 16104^2 + 2280^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (264537211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 318690 + ... + 319518.

Almost surely, 2^264537216 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 264537216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382451550).

264537216 is an abundant number, since it is smaller than the sum of its proper divisors (500365884).

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

264537216 is a wasteful number, since it uses less digits than its factorization.

264537216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1111 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 264537216 is about 16264.6000873062. The cubic root of 264537216 is about 641.9417072295.

The spelling of 264537216 in words is "two hundred sixty-four million, five hundred thirty-seven thousand, two hundred sixteen".