86689200 has 120 divisors (see below), whose sum is σ = 299109328. Its totient is φ = 21335040.

The previous prime is 86689189. The next prime is 86689201. The reversal of 86689200 is 298668.

It is a tau number, because it is divible by the number of its divisors (120).

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 (86689201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12822 + ... + 18378.

Almost surely, 2^86689200 is an apocalyptic number.

86689200 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 86689200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149554664).

86689200 is an abundant number, since it is smaller than the sum of its proper divisors (212420128).

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

86689200 is a wasteful number, since it uses less digits than its factorization.

86689200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5591 (or 5580 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 86689200 is about 9310.7035179948. The cubic root of 86689200 is about 442.5764814018.

The spelling of 86689200 in words is "eighty-six million, six hundred eighty-nine thousand, two hundred".