264618960 has 80 divisors (see below), whose sum is σ = 822108096. Its totient is φ = 70411264.

The previous prime is 264618929. The next prime is 264618971. The reversal of 264618960 is 69816462.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147187 + ... + 148973.

Almost surely, 2^264618960 is an apocalyptic number.

264618960 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 264618960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411054048).

264618960 is an abundant number, since it is smaller than the sum of its proper divisors (557489136).

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

264618960 is a wasteful number, since it uses less digits than its factorization.

264618960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 264618960 is about 16267.1128354112. The cubic root of 264618960 is about 642.0078220338.

The spelling of 264618960 in words is "two hundred sixty-four million, six hundred eighteen thousand, nine hundred sixty".