86051840 has 132 divisors (see below), whose sum is σ = 240825456. Its totient is φ = 29503488.

The previous prime is 86051839. The next prime is 86051851. The reversal of 86051840 is 4815068.

It is an ABA number since it can be written as A⋅B^A, here for A=5, B=28.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 86051797 and 86051806.

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, 12293117 + ... + 12293123.

Almost surely, 2^86051840 is an apocalyptic number.

86051840 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 86051840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120412728).

86051840 is an abundant number, since it is smaller than the sum of its proper divisors (154773616).

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

86051840 is an frugal number, since it uses more digits than its factorization.

86051840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 86051840 is about 9276.4130999002. The cubic root of 86051840 is about 441.4891691339.

The spelling of 86051840 in words is "eighty-six million, fifty-one thousand, eight hundred forty".