861337008 has 120 divisors (see below), whose sum is σ = 2770718496. Its totient is φ = 244684800.

The previous prime is 861336967. The next prime is 861337027. The reversal of 861337008 is 800733168.

861337008 is a `hidden beast` number, since 8 + 613 + 37 + 0 + 0 + 8 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180088 + ... + 184808.

Almost surely, 2^861337008 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 861337008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385359248).

861337008 is an abundant number, since it is smaller than the sum of its proper divisors (1909381488).

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

861337008 is a wasteful number, since it uses less digits than its factorization.

861337008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4923 (or 4914 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 861337008 is about 29348.5435413753. The cubic root of 861337008 is about 951.4610972064.

The spelling of 861337008 in words is "eight hundred sixty-one million, three hundred thirty-seven thousand, eight".