86896800 has 252 divisors, whose sum is σ = 320194350. Its totient is φ = 23016960.

The previous prime is 86896769. The next prime is 86896807. The reversal of 86896800 is 869868.

It can be written as a sum of positive squares in 3 ways, for example, as 46294416 + 40602384 = 6804^2 + 6372^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (86896807) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 583126 + ... + 583274.

Almost surely, 2^86896800 is an apocalyptic number.

86896800 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 86896800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160097175).

86896800 is an abundant number, since it is smaller than the sum of its proper divisors (233297550).

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

86896800 is a wasteful number, since it uses less digits than its factorization.

86896800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 86896800 is about 9321.8453108813. The cubic root of 86896800 is about 442.9294882058.

The spelling of 86896800 in words is "eighty-six million, eight hundred ninety-six thousand, eight hundred".