1074541600 has 144 divisors (see below), whose sum is σ = 2986683840. Its totient is φ = 373683200.

The previous prime is 1074541597. The next prime is 1074541607. The reversal of 1074541600 is 61454701.

It is not an unprimeable number, because it can be changed into a prime (1074541607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199746 + ... + 205054.

It is an arithmetic number, because the mean of its divisors is an integer number (20740860).

Almost surely, 2^1074541600 is an apocalyptic number.

1074541600 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 1074541600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493341920).

1074541600 is an abundant number, since it is smaller than the sum of its proper divisors (1912142240).

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

1074541600 is a wasteful number, since it uses less digits than its factorization.

1074541600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5363 (or 5350 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 1074541600 is about 32780.2013416635. The cubic root of 1074541600 is about 1024.2541788455.

The spelling of 1074541600 in words is "one billion, seventy-four million, five hundred forty-one thousand, six hundred".