1091264000 has 240 divisors, whose sum is σ = 2939610960. Its totient is φ = 403865600.

The previous prime is 1091263981. The next prime is 1091264021. The reversal of 1091264000 is 4621901.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18495971 + ... + 18496029.

It is an arithmetic number, because the mean of its divisors is an integer number (12248379).

Almost surely, 2^1091264000 is an apocalyptic number.

1091264000 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 1091264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469805480).

1091264000 is an abundant number, since it is smaller than the sum of its proper divisors (1848346960).

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

1091264000 is an frugal number, since it uses more digits than its factorization.

1091264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 1091264000 is about 33034.2852200558. The cubic root of 1091264000 is about 1029.5401220977.

Adding to 1091264000 its reverse (4621901), we get a palindrome (1095885901).

The spelling of 1091264000 in words is "one billion, ninety-one million, two hundred sixty-four thousand".