168290400 has 72 divisors (see below), whose sum is σ = 547793064. Its totient is φ = 44876800.

The previous prime is 168290387. The next prime is 168290401. The reversal of 168290400 is 4092861.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168290401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32661 + ... + 37460.

It is an arithmetic number, because the mean of its divisors is an integer number (7608237).

Almost surely, 2^168290400 is an apocalyptic number.

168290400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

168290400 is an abundant number, since it is smaller than the sum of its proper divisors (379502664).

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

168290400 is a wasteful number, since it uses less digits than its factorization.

168290400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70144 (or 70131 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 168290400 is about 12972.6789831553. The cubic root of 168290400 is about 552.1025854289.

The spelling of 168290400 in words is "one hundred sixty-eight million, two hundred ninety thousand, four hundred".