86233248 has 240 divisors, whose sum is σ = 285405120. Its totient is φ = 25380864.

The previous prime is 86233247. The next prime is 86233261. The reversal of 86233248 is 84233268.

86233248 is a `hidden beast` number, since 8 + 623 + 3 + 24 + 8 = 666.

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.

Its product of digits (55296) is a multiple of the sum of its prime divisors (144).

It is not an unprimeable number, because it can be changed into a prime (86233241) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 837165 + ... + 837267.

It is an arithmetic number, because the mean of its divisors is an integer number (1189188).

Almost surely, 2^86233248 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 86233248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142702560).

86233248 is an abundant number, since it is smaller than the sum of its proper divisors (199171872).

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

86233248 is a wasteful number, since it uses less digits than its factorization.

86233248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 144 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 86233248 is about 9286.1858693438. The cubic root of 86233248 is about 441.7991894401.

The spelling of 86233248 in words is "eighty-six million, two hundred thirty-three thousand, two hundred forty-eight".