86684400 has 270 divisors, whose sum is σ = 332313800. Its totient is φ = 20908800.

The previous prime is 86684387. The next prime is 86684407. The reversal of 86684400 is 448668.

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 (86684407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 435501 + ... + 435699.

Almost surely, 2^86684400 is an apocalyptic number.

86684400 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 86684400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166156900).

86684400 is an abundant number, since it is smaller than the sum of its proper divisors (245629400).

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

86684400 is a wasteful number, since it uses less digits than its factorization.

86684400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 86684400 is about 9310.4457465795. The cubic root of 86684400 is about 442.5683127322.

It can be divided in two parts, 86 and 684400, that added together give a palindrome (684486).

The spelling of 86684400 in words is "eighty-six million, six hundred eighty-four thousand, four hundred".