86315040 has 144 divisors (see below), whose sum is σ = 336667968. Its totient is φ = 19726848.

The previous prime is 86315017. The next prime is 86315057. The reversal of 86315040 is 4051368.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×86315040² = 14900572260403200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 86314995 and 86315013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5799 + ... + 14361.

It is an arithmetic number, because the mean of its divisors is an integer number (2337972).

Almost surely, 2^86315040 is an apocalyptic number.

86315040 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 86315040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168333984).

86315040 is an abundant number, since it is smaller than the sum of its proper divisors (250352928).

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

86315040 is a wasteful number, since it uses less digits than its factorization.

86315040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8591 (or 8580 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 86315040 is about 9290.5887865086. The cubic root of 86315040 is about 441.9388270752.

The spelling of 86315040 in words is "eighty-six million, three hundred fifteen thousand, forty".