86075640 has 96 divisors (see below), whose sum is σ = 319718880. Its totient is φ = 19673856.

The previous prime is 86075629. The next prime is 86075651. The reversal of 86075640 is 4657068.

It is a happy number.

86075640 is a `hidden beast` number, since 8 + 6 + 0 + 7 + 5 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (86075629) and next prime (86075651).

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 = 86075595 and 86075604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14559 + ... + 19598.

It is an arithmetic number, because the mean of its divisors is an integer number (3330405).

Almost surely, 2^86075640 is an apocalyptic number.

It is an amenable number.

86075640 is an abundant number, since it is smaller than the sum of its proper divisors (233643240).

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

86075640 is a wasteful number, since it uses less digits than its factorization.

86075640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34181 (or 34174 counting only the distinct ones).

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

The square root of 86075640 is about 9277.6958346348. The cubic root of 86075640 is about 441.5298673675.

The spelling of 86075640 in words is "eighty-six million, seventy-five thousand, six hundred forty".