1123076864 has 216 divisors, whose sum is σ = 2877281568. Its totient is φ = 433520640.

The previous prime is 1123076807. The next prime is 1123076869. The reversal of 1123076864 is 4686703211.

It is a super-2 number, since 2×1123076864² = 2522603284904148992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1123076869) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 11578064 + ... + 11578160.

It is an arithmetic number, because the mean of its divisors is an integer number (13320748).

Almost surely, 2^1123076864 is an apocalyptic number.

1123076864 is a gapful number since it is divisible by the number (14) 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 1123076864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438640784).

1123076864 is an abundant number, since it is smaller than the sum of its proper divisors (1754204704).

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

1123076864 is an equidigital number, since it uses as much as digits as its factorization.

1123076864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 1123076864 is about 33512.3389813364. The cubic root of 1123076864 is about 1039.4489388319.

The spelling of 1123076864 in words is "one billion, one hundred twenty-three million, seventy-six thousand, eight hundred sixty-four".