86600448 has 288 divisors, whose sum is σ = 300222720. Its totient is φ = 24330240.

The previous prime is 86600447. The next prime is 86600483. The reversal of 86600448 is 84400668.

86600448 is a `hidden beast` number, since 8 + 6 + 600 + 4 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (86600441) 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, 1292511 + ... + 1292577.

It is an arithmetic number, because the mean of its divisors is an integer number (1042440).

Almost surely, 2^86600448 is an apocalyptic number.

86600448 is a gapful number since it is divisible by the number (88) 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 86600448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150111360).

86600448 is an abundant number, since it is smaller than the sum of its proper divisors (213622272).

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

86600448 is a wasteful number, since it uses less digits than its factorization.

86600448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 86600448 is about 9305.9361699939. The cubic root of 86600448 is about 442.4253939144.

The spelling of 86600448 in words is "eighty-six million, six hundred thousand, four hundred forty-eight".