667082304 has 280 divisors, whose sum is σ = 2336767488. Its totient is φ = 184135680.

The previous prime is 667082293. The next prime is 667082309. The reversal of 667082304 is 403280766.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667082309) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1124632 + ... + 1125224.

Almost surely, 2^667082304 is an apocalyptic number.

667082304 is a gapful number since it is divisible by the number (64) 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 667082304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168383744).

667082304 is an abundant number, since it is smaller than the sum of its proper divisors (1669685184).

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

667082304 is a wasteful number, since it uses less digits than its factorization.

667082304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 667082304 is about 25827.9365029419. The cubic root of 667082304 is about 873.7619733481.

The spelling of 667082304 in words is "six hundred sixty-seven million, eighty-two thousand, three hundred four".