1074517120 has 64 divisors (see below), whose sum is σ = 2575540800. Its totient is φ = 428674048.

The previous prime is 1074517117. The next prime is 1074517141. The reversal of 1074517120 is 217154701.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 266157 + ... + 270163.

It is an arithmetic number, because the mean of its divisors is an integer number (40242825).

Almost surely, 2^1074517120 is an apocalyptic number.

1074517120 is a gapful number since it is divisible by the number (10) 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 1074517120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287770400).

1074517120 is an abundant number, since it is smaller than the sum of its proper divisors (1501023680).

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

1074517120 is an equidigital number, since it uses as much as digits as its factorization.

1074517120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4445 (or 4433 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 28.

The square root of 1074517120 is about 32779.8279434167. The cubic root of 1074517120 is about 1024.2464006659.

The spelling of 1074517120 in words is "one billion, seventy-four million, five hundred seventeen thousand, one hundred twenty".