86265144 has 48 divisors (see below), whose sum is σ = 267012720. Its totient is φ = 24647040.

The previous prime is 86265133. The next prime is 86265161. The reversal of 86265144 is 44156268.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 86265099 and 86265108.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 85077 + ... + 86084.

It is an arithmetic number, because the mean of its divisors is an integer number (5562765).

Almost surely, 2^86265144 is an apocalyptic number.

86265144 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

86265144 is an abundant number, since it is smaller than the sum of its proper divisors (180747576).

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

86265144 is a wasteful number, since it uses less digits than its factorization.

86265144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171180 (or 171173 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 86265144 is about 9287.9031002697. The cubic root of 86265144 is about 441.8536536992.

The spelling of 86265144 in words is "eighty-six million, two hundred sixty-five thousand, one hundred forty-four".