167428800 has 504 divisors, whose sum is σ = 746833152. Its totient is φ = 34560000.

The previous prime is 167428787. The next prime is 167428813. The reversal of 167428800 is 8824761.

It is an interprime number because it is at equal distance from previous prime (167428787) and next prime (167428813).

It is a tau number, because it is divible by the number of its divisors (504).

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

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1108725 + ... + 1108875.

Almost surely, 2^167428800 is an apocalyptic number.

167428800 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 167428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373416576).

167428800 is an abundant number, since it is smaller than the sum of its proper divisors (579404352).

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

167428800 is a wasteful number, since it uses less digits than its factorization.

167428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 167428800 is about 12939.4281171928. The cubic root of 167428800 is about 551.1587690508.

The spelling of 167428800 in words is "one hundred sixty-seven million, four hundred twenty-eight thousand, eight hundred".