86958144 has 336 divisors, whose sum is σ = 324307200. Its totient is φ = 22643712.

The previous prime is 86958143. The next prime is 86958149. The reversal of 86958144 is 44185968.

86958144 is a `hidden beast` number, since 8 + 69 + 581 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 86958144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86958143) 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, 1100697 + ... + 1100775.

It is an arithmetic number, because the mean of its divisors is an integer number (965200).

Almost surely, 2^86958144 is an apocalyptic number.

86958144 is a gapful number since it is divisible by the number (84) 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 86958144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162153600).

86958144 is an abundant number, since it is smaller than the sum of its proper divisors (237349056).

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

86958144 is a wasteful number, since it uses less digits than its factorization.

86958144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 104 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 86958144 is about 9325.1350660460. The cubic root of 86958144 is about 443.0336910276.

The spelling of 86958144 in words is "eighty-six million, nine hundred fifty-eight thousand, one hundred forty-four".