1083307680 has 432 divisors, whose sum is σ = 4635061704. Its totient is φ = 228372480.

The previous prime is 1083307661. The next prime is 1083307681. The reversal of 1083307680 is 867033801.

It can be written as a sum of positive squares in 4 ways, for example, as 909384336 + 173923344 = 30156^2 + 13188^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1083307681) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 916690 + ... + 917870.

Almost surely, 2^1083307680 is an apocalyptic number.

1083307680 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 1083307680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2317530852).

1083307680 is an abundant number, since it is smaller than the sum of its proper divisors (3551754024).

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

1083307680 is a wasteful number, since it uses less digits than its factorization.

1083307680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1083307680 is about 32913.6397258036. The cubic root of 1083307680 is about 1027.0319177916.

The spelling of 1083307680 in words is "one billion, eighty-three million, three hundred seven thousand, six hundred eighty".