86331648 has 72 divisors (see below), whose sum is σ = 247471168. Its totient is φ = 26560512.

The previous prime is 86331629. The next prime is 86331667. The reversal of 86331648 is 84613368.

It is an interprime number because it is at equal distance from previous prime (86331629) and next prime (86331667).

It is a Harshad number since it is a multiple of its sum of digits (39).

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 7 ways as a sum of consecutive naturals, for example, 5661 + ... + 14307.

Almost surely, 2^86331648 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 86331648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123735584).

86331648 is an abundant number, since it is smaller than the sum of its proper divisors (161139520).

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

86331648 is a wasteful number, since it uses less digits than its factorization.

86331648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8679 (or 8665 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 86331648 is about 9291.4825512401. The cubic root of 86331648 is about 441.9671699509.

The spelling of 86331648 in words is "eighty-six million, three hundred thirty-one thousand, six hundred forty-eight".