668513400 has 192 divisors, whose sum is σ = 2182360320. Its totient is φ = 168960000.

The previous prime is 668513381. The next prime is 668513401. The reversal of 668513400 is 4315866.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668513401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2663275 + ... + 2663525.

It is an arithmetic number, because the mean of its divisors is an integer number (11366460).

Almost surely, 2^668513400 is an apocalyptic number.

668513400 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 668513400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091180160).

668513400 is an abundant number, since it is smaller than the sum of its proper divisors (1513846920).

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

668513400 is a wasteful number, since it uses less digits than its factorization.

668513400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 668513400 is about 25855.6260802170. The cubic root of 668513400 is about 874.3863561423.

The spelling of 668513400 in words is "six hundred sixty-eight million, five hundred thirteen thousand, four hundred".