264098880 has 280 divisors, whose sum is σ = 982504512. Its totient is φ = 67212288.

The previous prime is 264098851. The next prime is 264098881. The reversal of 264098880 is 88890462.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (264098881) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 595939 + ... + 596381.

Almost surely, 2^264098880 is an apocalyptic number.

264098880 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 264098880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491252256).

264098880 is an abundant number, since it is smaller than the sum of its proper divisors (718405632).

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

264098880 is a wasteful number, since it uses less digits than its factorization.

264098880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 476 counting only the distinct ones).

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

The square root of 264098880 is about 16251.1193460635. The cubic root of 264098880 is about 641.5869471622.

The spelling of 264098880 in words is "two hundred sixty-four million, ninety-eight thousand, eight hundred eighty".