668979360 has 432 divisors, whose sum is σ = 2800980000. Its totient is φ = 144571392.

The previous prime is 668979317. The next prime is 668979361. The reversal of 668979360 is 63979866.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 668979297 and 668979306.

It is not an unprimeable number, because it can be changed into a prime (668979361) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1340391 + ... + 1340889.

It is an arithmetic number, because the mean of its divisors is an integer number (6483750).

Almost surely, 2^668979360 is an apocalyptic number.

668979360 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 668979360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400490000).

668979360 is an abundant number, since it is smaller than the sum of its proper divisors (2132000640).

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

668979360 is a wasteful number, since it uses less digits than its factorization.

668979360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 668979360 is about 25864.6353154264. The cubic root of 668979360 is about 874.5894607435.

The spelling of 668979360 in words is "six hundred sixty-eight million, nine hundred seventy-nine thousand, three hundred sixty".