866176640 has 256 divisors, whose sum is σ = 2511648000. Its totient is φ = 279379968.

The previous prime is 866176631. The next prime is 866176667. The reversal of 866176640 is 46671668.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 866176591 and 866176600.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7665224 + ... + 7665336.

It is an arithmetic number, because the mean of its divisors is an integer number (9811125).

Almost surely, 2^866176640 is an apocalyptic number.

866176640 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 866176640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255824000).

866176640 is an abundant number, since it is smaller than the sum of its proper divisors (1645471360).

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

866176640 is a wasteful number, since it uses less digits than its factorization.

866176640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The square root of 866176640 is about 29430.8790218709. The cubic root of 866176640 is about 953.2397754320.

The spelling of 866176640 in words is "eight hundred sixty-six million, one hundred seventy-six thousand, six hundred forty".