86965200 has 540 divisors, whose sum is σ = 384534540. Its totient is φ = 18063360.

The previous prime is 86965187. The next prime is 86965201. The reversal of 86965200 is 256968.

It can be written as a sum of positive squares in 6 ways, for example, as 28224 + 86936976 = 168^2 + 9324^2 .

It is a super-2 number, since 2×86965200² = 15125892022080000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86965201) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2998786 + ... + 2998814.

It is an arithmetic number, because the mean of its divisors is an integer number (712101).

Almost surely, 2^86965200 is an apocalyptic number.

86965200 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 86965200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192267270).

86965200 is an abundant number, since it is smaller than the sum of its proper divisors (297569340).

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

86965200 is a wasteful number, since it uses less digits than its factorization.

86965200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 86965200 is about 9325.5133906933. The cubic root of 86965200 is about 443.0456736552.

The spelling of 86965200 in words is "eighty-six million, nine hundred sixty-five thousand, two hundred".