86248800 has 360 divisors, whose sum is σ = 345962232. Its totient is φ = 20908800.

The previous prime is 86248793. The next prime is 86248817. The reversal of 86248800 is 884268.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7840795 + ... + 7840805.

Almost surely, 2^86248800 is an apocalyptic number.

86248800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86248800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172981116).

86248800 is an abundant number, since it is smaller than the sum of its proper divisors (259713432).

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

86248800 is a wasteful number, since it uses less digits than its factorization.

86248800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 86248800 is about 9287.0232044504. The cubic root of 86248800 is about 441.8257470542.

It can be divided in two parts, 8624 and 8800, that added together give a square (17424 = 132²).

The spelling of 86248800 in words is "eighty-six million, two hundred forty-eight thousand, eight hundred".