887633640 has 160 divisors (see below), whose sum is σ = 3140676000. Its totient is φ = 224228736.

The previous prime is 887633629. The next prime is 887633657. The reversal of 887633640 is 46336788.

887633640 is a `hidden beast` number, since 8 + 8 + 7 + 633 + 6 + 4 + 0 = 666.

887633640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×887633640⁴ (a number of 37 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 54351 + ... + 68769.

It is an arithmetic number, because the mean of its divisors is an integer number (19629225).

Almost surely, 2^887633640 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 887633640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570338000).

887633640 is an abundant number, since it is smaller than the sum of its proper divisors (2253042360).

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

887633640 is a wasteful number, since it uses less digits than its factorization.

887633640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14461 (or 14448 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 887633640 is about 29793.1810990367. The cubic root of 887633640 is about 961.0469047833.

The spelling of 887633640 in words is "eight hundred eighty-seven million, six hundred thirty-three thousand, six hundred forty".