86144040 has 192 divisors, whose sum is σ = 300283200. Its totient is φ = 21962880.

The previous prime is 86144021. The next prime is 86144041. The reversal of 86144040 is 4044168.

86144040 is a `hidden beast` number, since 8 + 614 + 4 + 0 + 40 = 666.

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 = 86143995 and 86144013.

It is not an unprimeable number, because it can be changed into a prime (86144041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1037839 + ... + 1037921.

It is an arithmetic number, because the mean of its divisors is an integer number (1563975).

Almost surely, 2^86144040 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 86144040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150141600).

86144040 is an abundant number, since it is smaller than the sum of its proper divisors (214139160).

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

86144040 is a wasteful number, since it uses less digits than its factorization.

86144040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 86144040 is about 9281.3813627067. The cubic root of 86144040 is about 441.6467902926.

The spelling of 86144040 in words is "eighty-six million, one hundred forty-four thousand, forty".