1074586968 has 192 divisors, whose sum is σ = 3599668800. Its totient is φ = 282009600.

The previous prime is 1074586927. The next prime is 1074587011. The reversal of 1074586968 is 8696854701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2627148 + ... + 2627556.

It is an arithmetic number, because the mean of its divisors is an integer number (18748275).

Almost surely, 2^1074586968 is an apocalyptic number.

1074586968 is a gapful number since it is divisible by the number (18) 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 1074586968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799834400).

1074586968 is an abundant number, since it is smaller than the sum of its proper divisors (2525081832).

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

1074586968 is a wasteful number, since it uses less digits than its factorization.

1074586968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 1074586968 is about 32780.8933374306. The cubic root of 1074586968 is about 1024.2685935843.

The spelling of 1074586968 in words is "one billion, seventy-four million, five hundred eighty-six thousand, nine hundred sixty-eight".