861926400 has 528 divisors, whose sum is σ = 3350529600. Its totient is φ = 216760320.

The previous prime is 861926399. The next prime is 861926447. The reversal of 861926400 is 4629168.

861926400 is a `hidden beast` number, since 8 + 6 + 1 + 9 + 2 + 640 + 0 = 666.

861926400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20044779 + ... + 20044821.

It is an arithmetic number, because the mean of its divisors is an integer number (6345700).

Almost surely, 2^861926400 is an apocalyptic number.

861926400 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 861926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675264800).

861926400 is an abundant number, since it is smaller than the sum of its proper divisors (2488603200).

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

861926400 is a wasteful number, since it uses less digits than its factorization.

861926400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 861926400 is about 29358.5830720762. The cubic root of 861926400 is about 951.6780682999.

The spelling of 861926400 in words is "eight hundred sixty-one million, nine hundred twenty-six thousand, four hundred".