861814080 has 168 divisors, whose sum is σ = 3074346912. Its totient is φ = 229796352.

The previous prime is 861814069. The next prime is 861814087. The reversal of 861814080 is 80418168.

861814080 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 not an unprimeable number, because it can be changed into a prime (861814087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72219 + ... + 83301.

It is an arithmetic number, because the mean of its divisors is an integer number (18299684).

Almost surely, 2^861814080 is an apocalyptic number.

861814080 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 861814080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537173456).

861814080 is an abundant number, since it is smaller than the sum of its proper divisors (2212532832).

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

861814080 is a wasteful number, since it uses less digits than its factorization.

861814080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11115 (or 11093 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 861814080 is about 29356.6701108964. The cubic root of 861814080 is about 951.6367279086.

The spelling of 861814080 in words is "eight hundred sixty-one million, eight hundred fourteen thousand, eighty".