887120640 has 576 divisors, whose sum is σ = 3806745600. Its totient is φ = 191102976.

The previous prime is 887120617. The next prime is 887120677. The reversal of 887120640 is 46021788.

887120640 is a `hidden beast` number, since 8 + 8 + 7 + 1 + 2 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 887120595 and 887120604.

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, 4596384 + ... + 4596576.

Almost surely, 2^887120640 is an apocalyptic number.

887120640 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 887120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1903372800).

887120640 is an abundant number, since it is smaller than the sum of its proper divisors (2919624960).

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

887120640 is a wasteful number, since it uses less digits than its factorization.

887120640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 887120640 is about 29784.5705021912. The cubic root of 887120640 is about 960.8617262559.

The spelling of 887120640 in words is "eight hundred eighty-seven million, one hundred twenty thousand, six hundred forty".