861993792 has 224 divisors, whose sum is σ = 2798064000. Its totient is φ = 258048000.

The previous prime is 861993751. The next prime is 861993827. The reversal of 861993792 is 297399168.

861993792 is a `hidden beast` number, since 86 + 199 + 379 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 1919584 + ... + 1920032.

Almost surely, 2^861993792 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 861993792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399032000).

861993792 is an abundant number, since it is smaller than the sum of its proper divisors (1936070208).

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

861993792 is a wasteful number, since it uses less digits than its factorization.

861993792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 566 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 54.

The square root of 861993792 is about 29359.7307889565. The cubic root of 861993792 is about 951.7028708109.

The spelling of 861993792 in words is "eight hundred sixty-one million, nine hundred ninety-three thousand, seven hundred ninety-two".