1007974891 has 24 divisors (see below), whose sum is σ = 1268628480. Its totient is φ = 783940080.

The previous prime is 1007974879. The next prime is 1007974907. The reversal of 1007974891 is 1984797001.

It is not a de Polignac number, because 1007974891 - 2²⁷ = 873757163 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1007974811) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 699750 + ... + 701188.

It is an arithmetic number, because the mean of its divisors is an integer number (52859520).

Almost surely, 2^1007974891 is an apocalyptic number.

1007974891 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1007974891 is a deficient number, since it is larger than the sum of its proper divisors (260653589).

1007974891 is a wasteful number, since it uses less digits than its factorization.

1007974891 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2295 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 46.

The square root of 1007974891 is about 31748.6203007312. The cubic root of 1007974891 is about 1002.6512615999.

The spelling of 1007974891 in words is "one billion, seven million, nine hundred seventy-four thousand, eight hundred ninety-one".