86307840 has 132 divisors (see below), whose sum is σ = 299214084. Its totient is φ = 23003136.

The previous prime is 86307817. The next prime is 86307877. The reversal of 86307840 is 4870368.

It can be written as a sum of positive squares in 2 ways, for example, as 13307904 + 72999936 = 3648^2 + 8544^2 .

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 = 86307795 and 86307804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45144 + ... + 47016.

Almost surely, 2^86307840 is an apocalyptic number.

86307840 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 86307840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149607042).

86307840 is an abundant number, since it is smaller than the sum of its proper divisors (212906244).

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

86307840 is a wasteful number, since it uses less digits than its factorization.

86307840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 86307840 is about 9290.2012895308. The cubic root of 86307840 is about 441.9265385716.

The spelling of 86307840 in words is "eighty-six million, three hundred seven thousand, eight hundred forty".