668459520 has 320 divisors, whose sum is σ = 2504304000. Its totient is φ = 168542208.

The previous prime is 668459513. The next prime is 668459537. The reversal of 668459520 is 25954866.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1313026 + ... + 1313534.

It is an arithmetic number, because the mean of its divisors is an integer number (7825950).

Almost surely, 2^668459520 is an apocalyptic number.

668459520 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 668459520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252152000).

668459520 is an abundant number, since it is smaller than the sum of its proper divisors (1835844480).

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

668459520 is a wasteful number, since it uses less digits than its factorization.

668459520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 668459520 is about 25854.5841196489. The cubic root of 668459520 is about 874.3628646148.

The spelling of 668459520 in words is "six hundred sixty-eight million, four hundred fifty-nine thousand, five hundred twenty".