1005749120 has 128 divisors (see below), whose sum is σ = 2505185280. Its totient is φ = 385689600.

The previous prime is 1005749119. The next prime is 1005749131. The reversal of 1005749120 is 219475001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3233765 + ... + 3234075.

It is an arithmetic number, because the mean of its divisors is an integer number (19571760).

Almost surely, 2^1005749120 is an apocalyptic number.

1005749120 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 1005749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252592640).

1005749120 is an abundant number, since it is smaller than the sum of its proper divisors (1499436160).

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

1005749120 is a wasteful number, since it uses less digits than its factorization.

1005749120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 1005749120 is about 31713.5478936053. The cubic root of 1005749120 is about 1001.9127125316.

The spelling of 1005749120 in words is "one billion, five million, seven hundred forty-nine thousand, one hundred twenty".