668162400 has 144 divisors (see below), whose sum is σ = 2187360000. Its totient is φ = 177154560.

The previous prime is 668162399. The next prime is 668162401. The reversal of 668162400 is 4261866.

It is a happy number.

668162400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (668162399) and next prime (668162401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668162401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 476901 + ... + 478299.

It is an arithmetic number, because the mean of its divisors is an integer number (15190000).

Almost surely, 2^668162400 is an apocalyptic number.

668162400 is a gapful number since it is divisible by the number (60) 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 668162400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093680000).

668162400 is an abundant number, since it is smaller than the sum of its proper divisors (1519197600).

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

668162400 is a wasteful number, since it uses less digits than its factorization.

668162400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 668162400 is about 25848.8374980385. The cubic root of 668162400 is about 874.2332984571.

The spelling of 668162400 in words is "six hundred sixty-eight million, one hundred sixty-two thousand, four hundred".