1074793104 has 320 divisors, whose sum is σ = 3904512000. Its totient is φ = 274959360.

The previous prime is 1074793073. The next prime is 1074793123. The reversal of 1074793104 is 4013974701.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2627652 + ... + 2628060.

It is an arithmetic number, because the mean of its divisors is an integer number (12201600).

Almost surely, 2^1074793104 is an apocalyptic number.

1074793104 is a gapful number since it is divisible by the number (14) 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 1074793104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1952256000).

1074793104 is an abundant number, since it is smaller than the sum of its proper divisors (2829718896).

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

1074793104 is a wasteful number, since it uses less digits than its factorization.

1074793104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 1074793104 is about 32784.0373352642. The cubic root of 1074793104 is about 1024.3340839038.

The spelling of 1074793104 in words is "one billion, seventy-four million, seven hundred ninety-three thousand, one hundred four".