1075038720 has 160 divisors (see below), whose sum is σ = 3927927168. Its totient is φ = 245710848.

The previous prime is 1075038719. The next prime is 1075038751. The reversal of 1075038720 is 278305701.

It is a tau number, because it is divible by the number of its divisors (160).

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, 43762 + ... + 63758.

Almost surely, 2^1075038720 is an apocalyptic number.

1075038720 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 1075038720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1963963584).

1075038720 is an abundant number, since it is smaller than the sum of its proper divisors (2852888448).

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

1075038720 is an equidigital number, since it uses as much as digits as its factorization.

1075038720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20030 (or 20014 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 1075038720 is about 32787.7830906574. The cubic root of 1075038720 is about 1024.4121062620.

The spelling of 1075038720 in words is "one billion, seventy-five million, thirty-eight thousand, seven hundred twenty".