86732800 has 234 divisors, whose sum is σ = 270171944. Its totient is φ = 27033600.

The previous prime is 86732797. The next prime is 86732801. The reversal of 86732800 is 823768.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86732801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7884795 + ... + 7884805.

Almost surely, 2^86732800 is an apocalyptic number.

86732800 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 86732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135085972).

86732800 is an abundant number, since it is smaller than the sum of its proper divisors (183439144).

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

86732800 is a wasteful number, since it uses less digits than its factorization.

86732800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 86732800 is about 9313.0446149474. The cubic root of 86732800 is about 442.6506663464.

Multiplying 86732800 by its product of nonzero digits (16128), we get a square (1398826598400 = 1182720²).

The spelling of 86732800 in words is "eighty-six million, seven hundred thirty-two thousand, eight hundred".