168086400 has 96 divisors (see below), whose sum is σ = 553666200. Its totient is φ = 44820480.

The previous prime is 168086383. The next prime is 168086423. The reversal of 168086400 is 4680861.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 846 + ... + 18354.

Almost surely, 2^168086400 is an apocalyptic number.

168086400 is a gapful number since it is divisible by the number (10) 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 168086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276833100).

168086400 is an abundant number, since it is smaller than the sum of its proper divisors (385579800).

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

168086400 is a wasteful number, since it uses less digits than its factorization.

168086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17536 (or 17519 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 168086400 is about 12964.8139207626. The cubic root of 168086400 is about 551.8794107512.

The spelling of 168086400 in words is "one hundred sixty-eight million, eighty-six thousand, four hundred".