1083772440 has 128 divisors (see below), whose sum is σ = 3825144000. Its totient is φ = 272001024.

The previous prime is 1083772429. The next prime is 1083772441. The reversal of 1083772440 is 442773801.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1083772395 and 1083772404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1083772441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11155 + ... + 47874.

Almost surely, 2^1083772440 is an apocalyptic number.

1083772440 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 1083772440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1912572000).

1083772440 is an abundant number, since it is smaller than the sum of its proper divisors (2741371560).

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

1083772440 is a wasteful number, since it uses less digits than its factorization.

1083772440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59066 (or 59056 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 1083772440 is about 32920.6992635333. The cubic root of 1083772440 is about 1027.1787689952.

The spelling of 1083772440 in words is "one billion, eighty-three million, seven hundred seventy-two thousand, four hundred forty".