1139032320 has 144 divisors (see below), whose sum is σ = 3659185152. Its totient is φ = 301957120.

The previous prime is 1139032291. The next prime is 1139032327. The reversal of 1139032320 is 232309311.

It is a super-3 number, since 3×1139032320³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1139032327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 732664 + ... + 734216.

It is an arithmetic number, because the mean of its divisors is an integer number (25411008).

Almost surely, 2^1139032320 is an apocalyptic number.

1139032320 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 1139032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829592576).

1139032320 is an abundant number, since it is smaller than the sum of its proper divisors (2520152832).

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

1139032320 is a wasteful number, since it uses less digits than its factorization.

1139032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768 (or 1754 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 1139032320 is about 33749.5528859272. The cubic root of 1139032320 is about 1044.3482638995.

The spelling of 1139032320 in words is "one billion, one hundred thirty-nine million, thirty-two thousand, three hundred twenty".