86117040 has 80 divisors (see below), whose sum is σ = 296632800. Its totient is φ = 22963968.

The previous prime is 86117029. The next prime is 86117041. The reversal of 86117040 is 4071168.

It is a happy number.

86117040 is a `hidden beast` number, since 8 + 611 + 7 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×86117040² = 14832289156723200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 86116995 and 86117013.

It is not an unprimeable number, because it can be changed into a prime (86117041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17775 + ... + 22094.

It is an arithmetic number, because the mean of its divisors is an integer number (3707910).

Almost surely, 2^86117040 is an apocalyptic number.

86117040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86117040 is an abundant number, since it is smaller than the sum of its proper divisors (210515760).

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

86117040 is a wasteful number, since it uses less digits than its factorization.

86117040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39891 (or 39879 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 86117040 is about 9279.9267238486. The cubic root of 86117040 is about 441.6006439027.

It can be divided in two parts, 8611 and 7040, that added together give a palindrome (15651).

The spelling of 86117040 in words is "eighty-six million, one hundred seventeen thousand, forty".