861124880 has 160 divisors (see below), whose sum is σ = 2554979328. Its totient is φ = 262080000.

The previous prime is 861124879. The next prime is 861124907. The reversal of 861124880 is 88421168.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263255 + ... + 266505.

Almost surely, 2^861124880 is an apocalyptic number.

861124880 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 861124880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277489664).

861124880 is an abundant number, since it is smaller than the sum of its proper divisors (1693854448).

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

861124880 is a wasteful number, since it uses less digits than its factorization.

861124880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3325 (or 3319 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 38.

The square root of 861124880 is about 29344.9293745955. The cubic root of 861124880 is about 951.3829829458.

The spelling of 861124880 in words is "eight hundred sixty-one million, one hundred twenty-four thousand, eight hundred eighty".