264898080 has 192 divisors, whose sum is σ = 981953280. Its totient is φ = 66465792.

The previous prime is 264898079. The next prime is 264898099. The reversal of 264898080 is 80898462.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71637 + ... + 75243.

It is an arithmetic number, because the mean of its divisors is an integer number (5114340).

Almost surely, 2^264898080 is an apocalyptic number.

264898080 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 264898080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490976640).

264898080 is an abundant number, since it is smaller than the sum of its proper divisors (717055200).

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

264898080 is a wasteful number, since it uses less digits than its factorization.

264898080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3648 (or 3634 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 264898080 is about 16275.6898471309. The cubic root of 264898080 is about 642.2334726000.

The spelling of 264898080 in words is "two hundred sixty-four million, eight hundred ninety-eight thousand, eighty".