667949760 has 224 divisors, whose sum is σ = 2383657920. Its totient is φ = 176062464.

The previous prime is 667949687. The next prime is 667949773. The reversal of 667949760 is 67949766.

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 = 667949697 and 667949706.

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, 837682 + ... + 838478.

It is an arithmetic number, because the mean of its divisors is an integer number (10641330).

Almost surely, 2^667949760 is an apocalyptic number.

667949760 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 667949760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191828960).

667949760 is an abundant number, since it is smaller than the sum of its proper divisors (1715708160).

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

667949760 is a wasteful number, since it uses less digits than its factorization.

667949760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The square root of 667949760 is about 25844.7240263850. The cubic root of 667949760 is about 874.1405482054.

The spelling of 667949760 in words is "six hundred sixty-seven million, nine hundred forty-nine thousand, seven hundred sixty".