1007968 has 24 divisors (see below), whose sum is σ = 2137968. Its totient is φ = 465024.

The previous prime is 1007959. The next prime is 1007971. The reversal of 1007968 is 8697001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 796 + ... + 1627.

It is an arithmetic number, because the mean of its divisors is an integer number (89082).

2^1007968 is an apocalyptic number.

It is an amenable number.

1007968 is an abundant number, since it is smaller than the sum of its proper divisors (1130000).

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

1007968 is a wasteful number, since it uses less digits than its factorization.

1007968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2446 (or 2438 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 1007968 is about 1003.9760953330. The cubic root of 1007968 is about 100.2648976726.

The spelling of 1007968 in words is "one million, seven thousand, nine hundred sixty-eight".