86850144 has 192 divisors, whose sum is σ = 275244480. Its totient is φ = 26873856.

The previous prime is 86850133. The next prime is 86850221. The reversal of 86850144 is 44105868.

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 = 86850099 and 86850108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1189692 + ... + 1189764.

It is an arithmetic number, because the mean of its divisors is an integer number (1433565).

Almost surely, 2^86850144 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 86850144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137622240).

86850144 is an abundant number, since it is smaller than the sum of its proper divisors (188394336).

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

86850144 is an equidigital number, since it uses as much as digits as its factorization.

86850144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 86850144 is about 9319.3424660756. The cubic root of 86850144 is about 442.8502025175.

The spelling of 86850144 in words is "eighty-six million, eight hundred fifty thousand, one hundred forty-four".