86845944 has 64 divisors (see below), whose sum is σ = 222798240. Its totient is φ = 28200960.

The previous prime is 86845931. The next prime is 86845951. The reversal of 86845944 is 44954868.

It is a super-2 number, since 2×86845944² = 15084435978502272, which contains 22 as substring.

Its product of digits (1105920) is a multiple of the sum of its prime factors (640).

It is a junction number, because it is equal to n+sod(n) for n = 86845893 and 86845902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200352 + ... + 200784.

Almost surely, 2^86845944 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 86845944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111399120).

86845944 is an abundant number, since it is smaller than the sum of its proper divisors (135952296).

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

86845944 is a wasteful number, since it uses less digits than its factorization.

86845944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 636 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 48.

The square root of 86845944 is about 9319.1171255651. The cubic root of 86845944 is about 442.8430637811.

The spelling of 86845944 in words is "eighty-six million, eight hundred forty-five thousand, nine hundred forty-four".