861084408 has 128 divisors (see below), whose sum is σ = 2423001600. Its totient is φ = 253403136.

The previous prime is 861084397. The next prime is 861084449. The reversal of 861084408 is 804480168.

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, 875485 + ... + 876467.

It is an arithmetic number, because the mean of its divisors is an integer number (18929700).

Almost surely, 2^861084408 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 861084408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211500800).

861084408 is an abundant number, since it is smaller than the sum of its proper divisors (1561917192).

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

861084408 is a wasteful number, since it uses less digits than its factorization.

861084408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 861084408 is about 29344.2397754653. The cubic root of 861084408 is about 951.3680780323.

The spelling of 861084408 in words is "eight hundred sixty-one million, eighty-four thousand, four hundred eight".