1126072320 has 256 divisors, whose sum is σ = 3774816000. Its totient is φ = 286261248.

The previous prime is 1126072313. The next prime is 1126072361. The reversal of 1126072320 is 232706211.

It is a tau number, because it is divible by the number of its divisors (256).

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

It is a congruent number.

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, 14254041 + ... + 14254119.

It is an arithmetic number, because the mean of its divisors is an integer number (14745375).

Almost surely, 2^1126072320 is an apocalyptic number.

1126072320 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 1126072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887408000).

1126072320 is an abundant number, since it is smaller than the sum of its proper divisors (2648743680).

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

1126072320 is an frugal number, since it uses more digits than its factorization.

1126072320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 1126072320 is about 33557.0010579015. The cubic root of 1126072320 is about 1040.3722533290.

Adding to 1126072320 its reverse (232706211), we get a palindrome (1358778531).

The spelling of 1126072320 in words is "one billion, one hundred twenty-six million, seventy-two thousand, three hundred twenty".