887625648 has 320 divisors, whose sum is σ = 3192017920. Its totient is φ = 229920768.

The previous prime is 887625623. The next prime is 887625659. The reversal of 887625648 is 846526788.

887625648 is a `hidden beast` number, since 8 + 8 + 7 + 625 + 6 + 4 + 8 = 666.

It is a Smith number, since the sum of its digits (54) 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 (54).

It is a junction number, because it is equal to n+sod(n) for n = 887625594 and 887625603.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2633736 + ... + 2634072.

It is an arithmetic number, because the mean of its divisors is an integer number (9975056).

Almost surely, 2^887625648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 887625648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596008960).

887625648 is an abundant number, since it is smaller than the sum of its proper divisors (2304392272).

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

887625648 is a wasteful number, since it uses less digits than its factorization.

887625648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 429 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The square root of 887625648 is about 29793.0469740844. The cubic root of 887625648 is about 961.0440204439.

The spelling of 887625648 in words is "eight hundred eighty-seven million, six hundred twenty-five thousand, six hundred forty-eight".