1083305664 has 392 divisors, whose sum is σ = 3837846528. Its totient is φ = 296732160.

The previous prime is 1083305659. The next prime is 1083305683. The reversal of 1083305664 is 4665033801.

1083305664 is a `hidden beast` number, since 10 + 83 + 3 + 0 + 566 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 10124299 + ... + 10124405.

Almost surely, 2^1083305664 is an apocalyptic number.

1083305664 is a gapful number since it is divisible by the number (14) 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 1083305664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918923264).

1083305664 is an abundant number, since it is smaller than the sum of its proper divisors (2754540864).

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

1083305664 is an equidigital number, since it uses as much as digits as its factorization.

1083305664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1083305664 is about 32913.6091001883. The cubic root of 1083305664 is about 1027.0312807003.

The spelling of 1083305664 in words is "one billion, eighty-three million, three hundred five thousand, six hundred sixty-four".