1083264000 has 704 divisors, whose sum is σ = 4577943552. Its totient is φ = 221184000.

The previous prime is 1083263977. The next prime is 1083264011. The reversal of 1083264000 is 4623801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34943985 + ... + 34944015.

Almost surely, 2^1083264000 is an apocalyptic number.

1083264000 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 1083264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2288971776).

1083264000 is an abundant number, since it is smaller than the sum of its proper divisors (3494679552).

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

1083264000 is a wasteful number, since it uses less digits than its factorization.

1083264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1083264000 is about 32912.9761644249. The cubic root of 1083264000 is about 1027.0181139702.

Adding to 1083264000 its reverse (4623801), we get a palindrome (1087887801).

The spelling of 1083264000 in words is "one billion, eighty-three million, two hundred sixty-four thousand".