1004127696 has 360 divisors, whose sum is σ = 3454993152. Its totient is φ = 271814400.

The previous prime is 1004127671. The next prime is 1004127703. The reversal of 1004127696 is 6967214001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1004127696.

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 71 ways as a sum of consecutive naturals, for example, 32391201 + ... + 32391231.

Almost surely, 2^1004127696 is an apocalyptic number.

1004127696 is a gapful number since it is divisible by the number (16) 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 1004127696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727496576).

1004127696 is an abundant number, since it is smaller than the sum of its proper divisors (2450865456).

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

1004127696 is a wasteful number, since it uses less digits than its factorization.

1004127696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1004127696 is about 31687.9739964549. The cubic root of 1004127696 is about 1001.3740098988.

The spelling of 1004127696 in words is "one billion, four million, one hundred twenty-seven thousand, six hundred ninety-six".