1084125952 has 144 divisors (see below), whose sum is σ = 2688759360. Its totient is φ = 424820736.

The previous prime is 1084125947. The next prime is 1084125961. The reversal of 1084125952 is 2595214801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4030074 + ... + 4030342.

It is an arithmetic number, because the mean of its divisors is an integer number (18671940).

Almost surely, 2^1084125952 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 1084125952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344379680).

1084125952 is an abundant number, since it is smaller than the sum of its proper divisors (1604633408).

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

1084125952 is a wasteful number, since it uses less digits than its factorization.

1084125952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 37.

The square root of 1084125952 is about 32926.0679705306. The cubic root of 1084125952 is about 1027.2904408226.

The spelling of 1084125952 in words is "one billion, eighty-four million, one hundred twenty-five thousand, nine hundred fifty-two".