264025080 has 192 divisors, whose sum is σ = 952305120. Its totient is φ = 62899200.

The previous prime is 264025067. The next prime is 264025093. The reversal of 264025080 is 80520462.

It is an interprime number because it is at equal distance from previous prime (264025067) and next prime (264025093).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 241014 + ... + 242106.

Almost surely, 2^264025080 is an apocalyptic number.

264025080 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 264025080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476152560).

264025080 is an abundant number, since it is smaller than the sum of its proper divisors (688280040).

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

264025080 is a wasteful number, since it uses less digits than its factorization.

264025080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 264025080 is about 16248.8485745914. The cubic root of 264025080 is about 641.5271797400.

The spelling of 264025080 in words is "two hundred sixty-four million, twenty-five thousand, eighty".