1126597248 has 480 divisors, whose sum is σ = 4138025760. Its totient is φ = 297851904.

The previous prime is 1126597243. The next prime is 1126597253. The reversal of 1126597248 is 8427956211.

1126597248 is a `hidden beast` number, since 1 + 12 + 6 + 597 + 2 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (1126597243) and next prime (1126597253).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1126597243) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 26199915 + ... + 26199957.

It is an arithmetic number, because the mean of its divisors is an integer number (8620887).

It is a vampire number, since it can be written as 21672 ⋅ 51984 (with its own digits).

Almost surely, 2^1126597248 is an apocalyptic number.

1126597248 is a gapful number since it is divisible by the number (18) 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 1126597248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2069012880).

1126597248 is an abundant number, since it is smaller than the sum of its proper divisors (3011428512).

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

1126597248 is an equidigital number, since it uses as much as digits as its factorization.

1126597248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 74 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 1126597248 is about 33564.8215845102. The cubic root of 1126597248 is about 1040.5338876157.

The spelling of 1126597248 in words is "one billion, one hundred twenty-six million, five hundred ninety-seven thousand, two hundred forty-eight".