1083608064 has 352 divisors, whose sum is σ = 4008844800. Its totient is φ = 280903680.

The previous prime is 1083608021. The next prime is 1083608083. The reversal of 1083608064 is 4608063801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (352).

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 31 ways as a sum of consecutive naturals, for example, 2128642 + ... + 2129150.

Almost surely, 2^1083608064 is an apocalyptic number.

1083608064 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 1083608064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004422400).

1083608064 is an abundant number, since it is smaller than the sum of its proper divisors (2925236736).

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

1083608064 is a wasteful number, since it uses less digits than its factorization.

1083608064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1083608064 is about 32918.2026240802. The cubic root of 1083608064 is about 1027.1268355610.

1083608064 divided by its product of nonzero digits (27648) gives a palindrome (39193).

The spelling of 1083608064 in words is "one billion, eighty-three million, six hundred eight thousand, sixty-four".