1083061632 has 128 divisors (see below), whose sum is σ = 3051187200. Its totient is φ = 339793920.

The previous prime is 1083061627. The next prime is 1083061657. The reversal of 1083061632 is 2361603801.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1083061632.

It is a congruent number.

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, 439219 + ... + 441677.

It is an arithmetic number, because the mean of its divisors is an integer number (23837400).

Almost surely, 2^1083061632 is an apocalyptic number.

1083061632 is a gapful number since it is divisible by the number (12) 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 1083061632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525593600).

1083061632 is an abundant number, since it is smaller than the sum of its proper divisors (1968125568).

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

1083061632 is a wasteful number, since it uses less digits than its factorization.

1083061632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2544 (or 2532 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 1083061632 is about 32909.9017318496. The cubic root of 1083061632 is about 1026.9541564784.

The spelling of 1083061632 in words is "one billion, eighty-three million, sixty-one thousand, six hundred thirty-two".