1075825824 has 96 divisors (see below), whose sum is σ = 3041115840. Its totient is φ = 331763712.

The previous prime is 1075825819. The next prime is 1075825843. The reversal of 1075825824 is 4285285701.

It is a tau number, because it is divible by the number of its divisors (96).

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, 90702 + ... + 101874.

It is an arithmetic number, because the mean of its divisors is an integer number (31678290).

Almost surely, 2^1075825824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1075825824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520557920).

1075825824 is an abundant number, since it is smaller than the sum of its proper divisors (1965290016).

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

1075825824 is a wasteful number, since it uses less digits than its factorization.

1075825824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11262 (or 11254 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 42.

The square root of 1075825824 is about 32799.7839017272. The cubic root of 1075825824 is about 1024.6620576191.

The spelling of 1075825824 in words is "one billion, seventy-five million, eight hundred twenty-five thousand, eight hundred twenty-four".