86248368 has 80 divisors (see below), whose sum is σ = 253376640. Its totient is φ = 28074816.

The previous prime is 86248343. The next prime is 86248381. The reversal of 86248368 is 86384268.

It is a happy number.

It is a Cunningham number, because it is equal to 9287²-1.

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 15 ways as a sum of consecutive naturals, for example, 16255 + ... + 20897.

It is an arithmetic number, because the mean of its divisors is an integer number (3167208).

Almost surely, 2^86248368 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 86248368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126688320).

86248368 is an abundant number, since it is smaller than the sum of its proper divisors (167128272).

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

86248368 is a wasteful number, since it uses less digits than its factorization.

86248368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4703 (or 4691 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 86248368 is about 9286.9999461613. Note that the first 4 decimals coincide. The cubic root of 86248368 is about 441.8250093858.

The spelling of 86248368 in words is "eighty-six million, two hundred forty-eight thousand, three hundred sixty-eight".