264901080 has 128 divisors (see below), whose sum is σ = 828921600. Its totient is φ = 67640832.

The previous prime is 264901079. The next prime is 264901081. The reversal of 264901080 is 80109462.

264901080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (264901079) and next prime (264901081).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264901081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 567007 + ... + 567473.

It is an arithmetic number, because the mean of its divisors is an integer number (6475950).

Almost surely, 2^264901080 is an apocalyptic number.

264901080 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 264901080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414460800).

264901080 is an abundant number, since it is smaller than the sum of its proper divisors (564020520).

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

264901080 is a wasteful number, since it uses less digits than its factorization.

264901080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 264901080 is about 16275.7820088621. The cubic root of 264901080 is about 642.2358970458.

The spelling of 264901080 in words is "two hundred sixty-four million, nine hundred one thousand, eighty".