86198400 has 288 divisors, whose sum is σ = 319393620. Its totient is φ = 22118400.

The previous prime is 86198377. The next prime is 86198417. The reversal of 86198400 is 489168.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 12787776 + 73410624 = 3576^2 + 8568^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1180764 + ... + 1180836.

Almost surely, 2^86198400 is an apocalyptic number.

86198400 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 86198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159696810).

86198400 is an abundant number, since it is smaller than the sum of its proper divisors (233195220).

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

86198400 is a wasteful number, since it uses less digits than its factorization.

86198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 86198400 is about 9284.3093442647. The cubic root of 86198400 is about 441.7396691164.

The spelling of 86198400 in words is "eighty-six million, one hundred ninety-eight thousand, four hundred".