86611140 has 192 divisors, whose sum is σ = 336107520. Its totient is φ = 17988480.

The previous prime is 86611127. The next prime is 86611153. The reversal of 86611140 is 4111668.

86611140 is a `hidden beast` number, since 8 + 6 + 611 + 1 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (86611127) and next prime (86611153).

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 40539 + ... + 42621.

It is an arithmetic number, because the mean of its divisors is an integer number (1750560).

Almost surely, 2^86611140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86611140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168053760).

86611140 is an abundant number, since it is smaller than the sum of its proper divisors (249496380).

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

86611140 is a wasteful number, since it uses less digits than its factorization.

86611140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 86611140 is about 9306.5106242888. The cubic root of 86611140 is about 442.4436009705.

It can be divided in two parts, 8661 and 1140, that added together give a square (9801 = 99²).

The spelling of 86611140 in words is "eighty-six million, six hundred eleven thousand, one hundred forty".