86217376 has 48 divisors (see below), whose sum is σ = 195350400. Its totient is φ = 36691200.

The previous prime is 86217371. The next prime is 86217401. The reversal of 86217376 is 67371268.

It is not an unprimeable number, because it can be changed into a prime (86217371) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32550 + ... + 35098.

It is an arithmetic number, because the mean of its divisors is an integer number (4069800).

Almost surely, 2^86217376 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 86217376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97675200).

86217376 is an abundant number, since it is smaller than the sum of its proper divisors (109133024).

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

86217376 is a wasteful number, since it uses less digits than its factorization.

86217376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2717 (or 2709 counting only the distinct ones).

The product of its digits is 84672, while the sum is 40.

The square root of 86217376 is about 9285.3312272638. The cubic root of 86217376 is about 441.7720820804.

The spelling of 86217376 in words is "eighty-six million, two hundred seventeen thousand, three hundred seventy-six".