264817960 has 96 divisors (see below), whose sum is σ = 667634400. Its totient is φ = 93728000.

The previous prime is 264817957. The next prime is 264817961. The reversal of 264817960 is 69718462.

264817960 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (264817961) 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, 2621910 + ... + 2622010.

It is an arithmetic number, because the mean of its divisors is an integer number (6954525).

Almost surely, 2^264817960 is an apocalyptic number.

264817960 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 264817960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333817200).

264817960 is an abundant number, since it is smaller than the sum of its proper divisors (402816440).

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

264817960 is a wasteful number, since it uses less digits than its factorization.

264817960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 264817960 is about 16273.2283213872. The cubic root of 264817960 is about 642.1687169596.

The spelling of 264817960 in words is "two hundred sixty-four million, eight hundred seventeen thousand, nine hundred sixty".