888894000 has 480 divisors, whose sum is σ = 3379783680. Its totient is φ = 225504000.

The previous prime is 888893987. The next prime is 888894001. The reversal of 888894000 is 498888.

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 (888894001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15065971 + ... + 15066029.

It is an arithmetic number, because the mean of its divisors is an integer number (7041216).

Almost surely, 2^888894000 is an apocalyptic number.

888894000 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 888894000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689891840).

888894000 is an abundant number, since it is smaller than the sum of its proper divisors (2490889680).

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

888894000 is a wasteful number, since it uses less digits than its factorization.

888894000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 888894000 is about 29814.3254158131. The cubic root of 888894000 is about 961.5015564092.

The spelling of 888894000 in words is "eight hundred eighty-eight million, eight hundred ninety-four thousand".