86611248 has 80 divisors (see below), whose sum is σ = 250385760. Its totient is φ = 28664064.

The previous prime is 86611219. The next prime is 86611249. The reversal of 86611248 is 84211668.

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

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

It is not an unprimeable number, because it can be changed into a prime (86611249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67186 + ... + 68462.

It is an arithmetic number, because the mean of its divisors is an integer number (3129822).

Almost surely, 2^86611248 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 86611248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125192880).

86611248 is an abundant number, since it is smaller than the sum of its proper divisors (163774512).

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

86611248 is a wasteful number, since it uses less digits than its factorization.

86611248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451 (or 1439 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 86611248 is about 9306.5164266765. The cubic root of 86611248 is about 442.4437848725.

The spelling of 86611248 in words is "eighty-six million, six hundred eleven thousand, two hundred forty-eight".