1135080672 has 288 divisors, whose sum is σ = 3566102400. Its totient is φ = 314772480.

The previous prime is 1135080643. The next prime is 1135080679. The reversal of 1135080672 is 2760805311.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135080679) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8165979 + ... + 8166117.

It is an arithmetic number, because the mean of its divisors is an integer number (12382300).

Almost surely, 2^1135080672 is an apocalyptic number.

1135080672 is a gapful number since it is divisible by the number (12) 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 1135080672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783051200).

1135080672 is an abundant number, since it is smaller than the sum of its proper divisors (2431021728).

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

1135080672 is a wasteful number, since it uses less digits than its factorization.

1135080672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 1135080672 is about 33690.9583122831. The cubic root of 1135080672 is about 1043.1391444389.

Adding to 1135080672 its reverse (2760805311), we get a palindrome (3895885983).

The spelling of 1135080672 in words is "one billion, one hundred thirty-five million, eighty thousand, six hundred seventy-two".