168401408 has 80 divisors (see below), whose sum is σ = 404944320. Its totient is φ = 68345856.

The previous prime is 168401407. The next prime is 168401411. The reversal of 168401408 is 804104861.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (168401407) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66860 + ... + 69332.

It is an arithmetic number, because the mean of its divisors is an integer number (5061804).

Almost surely, 2^168401408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168401408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202472160).

168401408 is an abundant number, since it is smaller than the sum of its proper divisors (236542912).

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

168401408 is an equidigital number, since it uses as much as digits as its factorization.

168401408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2517 (or 2501 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 168401408 is about 12976.9568081272. The cubic root of 168401408 is about 552.2239516964.

The spelling of 168401408 in words is "one hundred sixty-eight million, four hundred one thousand, four hundred eight".