888226560 has 360 divisors, whose sum is σ = 3427910640. Its totient is φ = 218308608.

The previous prime is 888226553. The next prime is 888226589. The reversal of 888226560 is 65622888.

888226560 is a `hidden beast` number, since 8 + 8 + 82 + 2 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

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 39 ways as a sum of consecutive naturals, for example, 1347511 + ... + 1348169.

It is an arithmetic number, because the mean of its divisors is an integer number (9521974).

Almost surely, 2^888226560 is an apocalyptic number.

888226560 is a gapful number since it is divisible by the number (80) 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 888226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713955320).

888226560 is an abundant number, since it is smaller than the sum of its proper divisors (2539684080).

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

888226560 is a wasteful number, since it uses less digits than its factorization.

888226560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 888226560 is about 29803.1300369609. The cubic root of 888226560 is about 961.2608433106.

The spelling of 888226560 in words is "eight hundred eighty-eight million, two hundred twenty-six thousand, five hundred sixty".