1007674044 has 96 divisors (see below), whose sum is σ = 2690688000. Its totient is φ = 290946816.

The previous prime is 1007673983. The next prime is 1007674051. The reversal of 1007674044 is 4404767001.

It is a junction number, because it is equal to n+sod(n) for n = 1007673996 and 1007674014.

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, 321517 + ... + 324635.

It is an arithmetic number, because the mean of its divisors is an integer number (28028000).

Almost surely, 2^1007674044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1007674044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345344000).

1007674044 is an abundant number, since it is smaller than the sum of its proper divisors (1683013956).

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

1007674044 is a wasteful number, since it uses less digits than its factorization.

1007674044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3267 (or 3265 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 1007674044 is about 31743.8819932282. The cubic root of 1007674044 is about 1002.5514989827.

The spelling of 1007674044 in words is "one billion, seven million, six hundred seventy-four thousand, forty-four".