86842944 has 42 divisors (see below), whose sum is σ = 248921270. Its totient is φ = 28947456.

The previous prime is 86842933. The next prime is 86842949. The reversal of 86842944 is 44924868.

It can be written as a sum of positive squares in only one way, i.e., 86713344 + 129600 = 9312^2 + 360^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 86842944.

It is not an unprimeable number, because it can be changed into a prime (86842949) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 74809 + ... + 75960.

Almost surely, 2^86842944 is an apocalyptic number.

It is an amenable number.

86842944 is an abundant number, since it is smaller than the sum of its proper divisors (162078326).

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

86842944 is a wasteful number, since it uses less digits than its factorization.

86842944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150787 (or 150774 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 86842944 is about 9318.9561647215. The cubic root of 86842944 is about 442.8379645428.

It can be divided in two parts, 8684 and 2944, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 86842944 in words is "eighty-six million, eight hundred forty-two thousand, nine hundred forty-four".