1126632000 has 448 divisors, whose sum is σ = 4207117824. Its totient is φ = 263577600.

The previous prime is 1126631983. The next prime is 1126632019. The reversal of 1126632000 is 2366211.

It is a happy number.

It is a super-4 number, since 4×1126632000⁴ (a number of 37 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7175922 + ... + 7176078.

It is an arithmetic number, because the mean of its divisors is an integer number (9390888).

Almost surely, 2^1126632000 is an apocalyptic number.

1126632000 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 1126632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103558912).

1126632000 is an abundant number, since it is smaller than the sum of its proper divisors (3080485824).

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

1126632000 is a wasteful number, since it uses less digits than its factorization.

1126632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1126632000 is about 33565.3392653791. The cubic root of 1126632000 is about 1040.5445865773.

Adding to 1126632000 its reverse (2366211), we get a palindrome (1128998211).

The spelling of 1126632000 in words is "one billion, one hundred twenty-six million, six hundred thirty-two thousand".