86080644 has 120 divisors (see below), whose sum is σ = 245887488. Its totient is φ = 26101440.

The previous prime is 86080633. The next prime is 86080663. The reversal of 86080644 is 44608068.

86080644 is a `hidden beast` number, since 8 + 6 + 0 + 8 + 0 + 644 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 86080599 and 86080608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 450589 + ... + 450779.

Almost surely, 2^86080644 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 86080644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122943744).

86080644 is an abundant number, since it is smaller than the sum of its proper divisors (159806844).

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

86080644 is a wasteful number, since it uses less digits than its factorization.

86080644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 86080644 is about 9277.9655097440. The cubic root of 86080644 is about 441.5384233021.

It can be divided in two parts, 8608064 and 4, that added together give a palindrome (8608068).

The spelling of 86080644 in words is "eighty-six million, eighty thousand, six hundred forty-four".