264961216 has 56 divisors (see below), whose sum is σ = 584549504. Its totient is φ = 118333440.

The previous prime is 264961183. The next prime is 264961259. The reversal of 264961216 is 612169462.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20656 + ... + 30928.

It is an arithmetic number, because the mean of its divisors is an integer number (10438384).

Almost surely, 2^264961216 is an apocalyptic number.

264961216 is a gapful number since it is divisible by the number (26) 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 264961216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292274752).

264961216 is an abundant number, since it is smaller than the sum of its proper divisors (319588288).

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

264961216 is a wasteful number, since it uses less digits than its factorization.

264961216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10329 (or 10319 counting only the distinct ones).

The product of its digits is 31104, while the sum is 37.

The square root of 264961216 is about 16277.6293114200. The cubic root of 264961216 is about 642.2844920103.

The spelling of 264961216 in words is "two hundred sixty-four million, nine hundred sixty-one thousand, two hundred sixteen".