861124824 has 256 divisors, whose sum is σ = 2851200000. Its totient is φ = 240637824.

The previous prime is 861124819. The next prime is 861124829. The reversal of 861124824 is 428421168.

It is an interprime number because it is at equal distance from previous prime (861124819) and next prime (861124829).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (861124829) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4371094 + ... + 4371290.

It is an arithmetic number, because the mean of its divisors is an integer number (11137500).

Almost surely, 2^861124824 is an apocalyptic number.

861124824 is a gapful number since it is divisible by the number (84) 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 861124824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425600000).

861124824 is an abundant number, since it is smaller than the sum of its proper divisors (1990075176).

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

861124824 is a wasteful number, since it uses less digits than its factorization.

861124824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 268 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 861124824 is about 29344.9284204273. The cubic root of 861124824 is about 951.3829623226.

The spelling of 861124824 in words is "eight hundred sixty-one million, one hundred twenty-four thousand, eight hundred twenty-four".