86548800 has 336 divisors, whose sum is σ = 326298560. Its totient is φ = 19906560.

The previous prime is 86548783. The next prime is 86548801. The reversal of 86548800 is 884568.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86548801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1185564 + ... + 1185636.

Almost surely, 2^86548800 is an apocalyptic number.

86548800 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 86548800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163149280).

86548800 is an abundant number, since it is smaller than the sum of its proper divisors (239749760).

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

86548800 is a wasteful number, since it uses less digits than its factorization.

86548800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 86548800 is about 9303.1607532064. The cubic root of 86548800 is about 442.3374231191.

The spelling of 86548800 in words is "eighty-six million, five hundred forty-eight thousand, eight hundred".