667992960 has 512 divisors, whose sum is σ = 2585088000. Its totient is φ = 162570240.

The previous prime is 667992959. The next prime is 667992977. The reversal of 667992960 is 69299766.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 667992897 and 667992906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15534699 + ... + 15534741.

It is an arithmetic number, because the mean of its divisors is an integer number (5049000).

Almost surely, 2^667992960 is an apocalyptic number.

667992960 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 667992960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292544000).

667992960 is an abundant number, since it is smaller than the sum of its proper divisors (1917095040).

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

667992960 is a wasteful number, since it uses less digits than its factorization.

667992960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The square root of 667992960 is about 25845.5597733924. The cubic root of 667992960 is about 874.1593929648.

The spelling of 667992960 in words is "six hundred sixty-seven million, nine hundred ninety-two thousand, nine hundred sixty".