856903680 has 156 divisors (see below), whose sum is σ = 2970875700. Its totient is φ = 228458496.

The previous prime is 856903673. The next prime is 856903693. The reversal of 856903680 is 86309658.

856903680 is a `hidden beast` number, since 8 + 569 + 0 + 3 + 6 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 632623104 + 224280576 = 25152^2 + 14976^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 181996 + ... + 186644.

It is an arithmetic number, because the mean of its divisors is an integer number (19044075).

Almost surely, 2^856903680 is an apocalyptic number.

856903680 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 856903680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485437850).

856903680 is an abundant number, since it is smaller than the sum of its proper divisors (2113972020).

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

856903680 is a wasteful number, since it uses less digits than its factorization.

856903680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4684 (or 4659 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 856903680 is about 29272.9171761203. The cubic root of 856903680 is about 949.8258886826.

The spelling of 856903680 in words is "eight hundred fifty-six million, nine hundred three thousand, six hundred eighty".