861421176 has 320 divisors, whose sum is σ = 3065414400. Its totient is φ = 222264000.

The previous prime is 861421157. The next prime is 861421213. The reversal of 861421176 is 671124168.

It is a happy number.

861421176 is a `hidden beast` number, since 8 + 61 + 421 + 176 = 666.

It is a super-2 number, since 2×861421176² = 1484092884922445952, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 861421176.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5704701 + ... + 5704851.

It is an arithmetic number, because the mean of its divisors is an integer number (9579420).

Almost surely, 2^861421176 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 861421176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532707200).

861421176 is an abundant number, since it is smaller than the sum of its proper divisors (2203993224).

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

861421176 is a wasteful number, since it uses less digits than its factorization.

861421176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 174 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 861421176 is about 29349.9774446251. The cubic root of 861421176 is about 951.4920877744.

The spelling of 861421176 in words is "eight hundred sixty-one million, four hundred twenty-one thousand, one hundred seventy-six".