86675040 has 144 divisors (see below), whose sum is σ = 308756448. Its totient is φ = 22099968.

The previous prime is 86675033. The next prime is 86675041. The reversal of 86675040 is 4057668.

It is a happy number.

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

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 = 86674986 and 86675004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86675041) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 31812 + ... + 34428.

It is an arithmetic number, because the mean of its divisors is an integer number (2144142).

Almost surely, 2^86675040 is an apocalyptic number.

86675040 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 86675040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154378224).

86675040 is an abundant number, since it is smaller than the sum of its proper divisors (222081408).

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

86675040 is a wasteful number, since it uses less digits than its factorization.

86675040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2661 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 86675040 is about 9309.9430717916. The cubic root of 86675040 is about 442.5523829589.

The spelling of 86675040 in words is "eighty-six million, six hundred seventy-five thousand, forty".