86148864 has 108 divisors (see below), whose sum is σ = 251105400. Its totient is φ = 28403712.

The previous prime is 86148863. The next prime is 86148889. The reversal of 86148864 is 46884168.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86148863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 320122 + ... + 320390.

It is an arithmetic number, because the mean of its divisors is an integer number (2325050).

Almost surely, 2^86148864 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 86148864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125552700).

86148864 is an abundant number, since it is smaller than the sum of its proper divisors (164956536).

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

86148864 is a wasteful number, since it uses less digits than its factorization.

86148864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 413 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 86148864 is about 9281.6412341784. The cubic root of 86148864 is about 441.6550340989.

The spelling of 86148864 in words is "eighty-six million, one hundred forty-eight thousand, eight hundred sixty-four".