168801408 has 160 divisors (see below), whose sum is σ = 511946160. Its totient is φ = 55427328.

The previous prime is 168801397. The next prime is 168801421. The reversal of 168801408 is 804108861.

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 (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2519391 + ... + 2519457.

Almost surely, 2^168801408 is an apocalyptic number.

168801408 is a gapful number since it is divisible by the number (18) 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 168801408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255973080).

168801408 is an abundant number, since it is smaller than the sum of its proper divisors (343144752).

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

168801408 is an frugal number, since it uses more digits than its factorization.

168801408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 168801408 is about 12992.3596009347. The cubic root of 168801408 is about 552.6608342665.

The spelling of 168801408 in words is "one hundred sixty-eight million, eight hundred one thousand, four hundred eight".