1007673966 has 64 divisors (see below), whose sum is σ = 2423312640. Its totient is φ = 308538720.

The previous prime is 1007673943. The next prime is 1007673971. The reversal of 1007673966 is 6693767001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144721 + ... + 151523.

It is an arithmetic number, because the mean of its divisors is an integer number (37864260).

Almost surely, 2^1007673966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1007673966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211656320).

1007673966 is an abundant number, since it is smaller than the sum of its proper divisors (1415638674).

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

1007673966 is a wasteful number, since it uses less digits than its factorization.

1007673966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7038 (or 7032 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 1007673966 is about 31743.8807646450. The cubic root of 1007673966 is about 1002.5514731149.

The spelling of 1007673966 in words is "one billion, seven million, six hundred seventy-three thousand, nine hundred sixty-six".