1139057920 has 432 divisors, whose sum is σ = 3758082048. Its totient is φ = 325140480.

The previous prime is 1139057897. The next prime is 1139057939. The reversal of 1139057920 is 297509311.

It is a super-4 number, since 4×1139057920⁴ (a number of 37 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1139057920.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 8968897 + ... + 8969023.

It is an arithmetic number, because the mean of its divisors is an integer number (8699264).

Almost surely, 2^1139057920 is an apocalyptic number.

1139057920 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 1139057920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1879041024).

1139057920 is an abundant number, since it is smaller than the sum of its proper divisors (2619024128).

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

1139057920 is a wasteful number, since it uses less digits than its factorization.

1139057920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 37.

The square root of 1139057920 is about 33749.9321480799. The cubic root of 1139057920 is about 1044.3560878259.

The spelling of 1139057920 in words is "one billion, one hundred thirty-nine million, fifty-seven thousand, nine hundred twenty".