668032140 has 96 divisors (see below), whose sum is σ = 1929505536. Its totient is φ = 172606720.

The previous prime is 668032129. The next prime is 668032181. The reversal of 668032140 is 41230866.

668032140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 668032098 and 668032107.

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, 262675 + ... + 265205.

It is an arithmetic number, because the mean of its divisors is an integer number (20099016).

Almost surely, 2^668032140 is an apocalyptic number.

668032140 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 668032140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964752768).

668032140 is an abundant number, since it is smaller than the sum of its proper divisors (1261473396).

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

668032140 is a wasteful number, since it uses less digits than its factorization.

668032140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2679 (or 2677 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 668032140 is about 25846.3177261288. The cubic root of 668032140 is about 874.1764834121.

The spelling of 668032140 in words is "six hundred sixty-eight million, thirty-two thousand, one hundred forty".