86368896 has 128 divisors (see below), whose sum is σ = 259406400. Its totient is φ = 28283904.

The previous prime is 86368859. The next prime is 86368903. The reversal of 86368896 is 69886368.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

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, 231366 + ... + 231738.

Almost surely, 2^86368896 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 86368896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129703200).

86368896 is an abundant number, since it is smaller than the sum of its proper divisors (173037504).

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

86368896 is a wasteful number, since it uses less digits than its factorization.

86368896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 445 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 86368896 is about 9293.4867514835. The cubic root of 86368896 is about 442.0307234160.

The spelling of 86368896 in words is "eighty-six million, three hundred sixty-eight thousand, eight hundred ninety-six".