861574320 has 200 divisors, whose sum is σ = 3089623680. Its totient is φ = 222289920.

The previous prime is 861574303. The next prime is 861574327. The reversal of 861574320 is 23475168.

861574320 is a `hidden beast` number, since 8 + 61 + 574 + 3 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (861574327) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 198736 + ... + 203024.

Almost surely, 2^861574320 is an apocalyptic number.

861574320 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 861574320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544811840).

861574320 is an abundant number, since it is smaller than the sum of its proper divisors (2228049360).

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

861574320 is a wasteful number, since it uses less digits than its factorization.

861574320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4345 (or 4330 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 861574320 is about 29352.5862574322. The cubic root of 861574320 is about 951.5484700545.

The spelling of 861574320 in words is "eight hundred sixty-one million, five hundred seventy-four thousand, three hundred twenty".