1083599616 has 144 divisors (see below), whose sum is σ = 3255356160. Its totient is φ = 316968960.

The previous prime is 1083599599. The next prime is 1083599633. The reversal of 1083599616 is 6169953801.

It is an interprime number because it is at equal distance from previous prime (1083599599) and next prime (1083599633).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242781 + ... + 247203.

It is an arithmetic number, because the mean of its divisors is an integer number (22606640).

Almost surely, 2^1083599616 is an apocalyptic number.

1083599616 is a gapful number since it is divisible by the number (16) 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 1083599616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627678080).

1083599616 is an abundant number, since it is smaller than the sum of its proper divisors (2171756544).

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

1083599616 is a wasteful number, since it uses less digits than its factorization.

1083599616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4482 (or 4468 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 48.

The square root of 1083599616 is about 32918.0743057670. The cubic root of 1083599616 is about 1027.1241663332.

The spelling of 1083599616 in words is "one billion, eighty-three million, five hundred ninety-nine thousand, six hundred sixteen".