86770944 has 108 divisors (see below), whose sum is σ = 269519796. Its totient is φ = 26689536.

The previous prime is 86770933. The next prime is 86770949. The reversal of 86770944 is 44907768.

It can be written as a sum of positive squares in 2 ways, for example, as 11289600 + 75481344 = 3360^2 + 8688^2 .

It is a super-2 number, since 2×86770944² = 15058393445302272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 86770944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86770949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28504 + ... + 31400.

Almost surely, 2^86770944 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 86770944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134759898).

86770944 is an abundant number, since it is smaller than the sum of its proper divisors (182748852).

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

86770944 is a wasteful number, since it uses less digits than its factorization.

86770944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2932 (or 2915 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 86770944 is about 9315.0922700744. The cubic root of 86770944 is about 442.7155475771.

The spelling of 86770944 in words is "eighty-six million, seven hundred seventy thousand, nine hundred forty-four".