861138432 has 320 divisors, whose sum is σ = 3181939200. Its totient is φ = 223395840.

The previous prime is 861138389. The next prime is 861138503. The reversal of 861138432 is 234831168.

861138432 is a `hidden beast` number, since 8 + 611 + 3 + 8 + 4 + 32 = 666.

It is a super-3 number, since 3×861138432³ (a number of 28 digits) contains 333 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 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, 1064044 + ... + 1064852.

It is an arithmetic number, because the mean of its divisors is an integer number (9943560).

Almost surely, 2^861138432 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 861138432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590969600).

861138432 is an abundant number, since it is smaller than the sum of its proper divisors (2320800768).

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

861138432 is a wasteful number, since it uses less digits than its factorization.

861138432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 832 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 861138432 is about 29345.1602824043. The cubic root of 861138432 is about 951.3879737335.

The spelling of 861138432 in words is "eight hundred sixty-one million, one hundred thirty-eight thousand, four hundred thirty-two".