1123632510 has 512 divisors, whose sum is σ = 4013162496. Its totient is φ = 193536000.

The previous prime is 1123632487. The next prime is 1123632529. The reversal of 1123632510 is 152363211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 15825775 + ... + 15825845.

It is an arithmetic number, because the mean of its divisors is an integer number (7838208).

Almost surely, 2^1123632510 is an apocalyptic number.

1123632510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1123632510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2006581248).

1123632510 is an abundant number, since it is smaller than the sum of its proper divisors (2889529986).

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

1123632510 is a wasteful number, since it uses less digits than its factorization.

1123632510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 1123632510 is about 33520.6281265730. The cubic root of 1123632510 is about 1039.6203341712.

Adding to 1123632510 its reverse (152363211), we get a palindrome (1275995721).

The spelling of 1123632510 in words is "one billion, one hundred twenty-three million, six hundred thirty-two thousand, five hundred ten".