86401644 has 48 divisors (see below), whose sum is σ = 232581888. Its totient is φ = 24452928.

The previous prime is 86401631. The next prime is 86401649. The reversal of 86401644 is 44610468.

It is not an unprimeable number, because it can be changed into a prime (86401649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4182 + ... + 13794.

It is an arithmetic number, because the mean of its divisors is an integer number (4845456).

Almost surely, 2^86401644 is an apocalyptic number.

86401644 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86401644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116290944).

86401644 is an abundant number, since it is smaller than the sum of its proper divisors (146180244).

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

86401644 is a wasteful number, since it uses less digits than its factorization.

86401644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9734 (or 9732 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 86401644 is about 9295.2484635969. The cubic root of 86401644 is about 442.0865837764.

The spelling of 86401644 in words is "eighty-six million, four hundred one thousand, six hundred forty-four".