86044896 has 192 divisors, whose sum is σ = 294658560. Its totient is φ = 23915520.

The previous prime is 86044891. The next prime is 86044919. The reversal of 86044896 is 69844068.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86044891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247795 + ... + 248141.

It is an arithmetic number, because the mean of its divisors is an integer number (1534680).

Almost surely, 2^86044896 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 86044896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147329280).

86044896 is an abundant number, since it is smaller than the sum of its proper divisors (208613664).

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

86044896 is a wasteful number, since it uses less digits than its factorization.

86044896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 86044896 is about 9276.0388097506. The cubic root of 86044896 is about 441.4772934116.

The spelling of 86044896 in words is "eighty-six million, forty-four thousand, eight hundred ninety-six".