668162520 has 192 divisors, whose sum is σ = 2296213920. Its totient is φ = 174680064.

The previous prime is 668162483. The next prime is 668162549. The reversal of 668162520 is 25261866.

668162520 is a `hidden beast` number, since 6 + 6 + 8 + 1 + 625 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 514512 + ... + 515808.

Almost surely, 2^668162520 is an apocalyptic number.

668162520 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 668162520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148106960).

668162520 is an abundant number, since it is smaller than the sum of its proper divisors (1628051400).

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

668162520 is a wasteful number, since it uses less digits than its factorization.

668162520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 668162520 is about 25848.8398192259. The cubic root of 668162520 is about 874.2333507937.

The spelling of 668162520 in words is "six hundred sixty-eight million, one hundred sixty-two thousand, five hundred twenty".