86495040 has 280 divisors, whose sum is σ = 318650112. Its totient is φ = 22256640.

The previous prime is 86495039. The next prime is 86495063. The reversal of 86495040 is 4059468.

86495040 is a `hidden beast` number, since 8 + 649 + 5 + 0 + 4 + 0 = 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 = 86494986 and 86495004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1218205 + ... + 1218275.

Almost surely, 2^86495040 is an apocalyptic number.

86495040 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 86495040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159325056).

86495040 is an abundant number, since it is smaller than the sum of its proper divisors (232155072).

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

86495040 is a wasteful number, since it uses less digits than its factorization.

86495040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 86495040 is about 9300.2709637945. The cubic root of 86495040 is about 442.2458178234.

It can be divided in two parts, 8649 and 5040, that added together give a square (13689 = 117²).

The spelling of 86495040 in words is "eighty-six million, four hundred ninety-five thousand, forty".