887906146680 has 384 divisors, whose sum is σ = 3503510599680. Its totient is φ = 197999354880.

The previous prime is 887906146643. The next prime is 887906146681. The reversal of 887906146680 is 86641609788.

887906146680 is a `hidden beast` number, since 8 + 8 + 7 + 9 + 0 + 614 + 6 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (887906146681) 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, 2630497 + ... + 2948783.

It is an arithmetic number, because the mean of its divisors is an integer number (9123725520).

Almost surely, 2^887906146680 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 887906146680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751755299840).

887906146680 is an abundant number, since it is smaller than the sum of its proper divisors (2615604453000).

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

887906146680 is a wasteful number, since it uses less digits than its factorization.

887906146680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318361 (or 318345 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 887906146680 in words is "eight hundred eighty-seven billion, nine hundred six million, one hundred forty-six thousand, six hundred eighty".