1083710772 has 192 divisors, whose sum is σ = 3034644480. Its totient is φ = 333849600.

The previous prime is 1083710759. The next prime is 1083710777. The reversal of 1083710772 is 2770173801.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1083710777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11172228 + ... + 11172324.

It is an arithmetic number, because the mean of its divisors is an integer number (15805440).

Almost surely, 2^1083710772 is an apocalyptic number.

1083710772 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 1083710772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517322240).

1083710772 is an abundant number, since it is smaller than the sum of its proper divisors (1950933708).

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

1083710772 is a wasteful number, since it uses less digits than its factorization.

1083710772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The square root of 1083710772 is about 32919.7626358393. The cubic root of 1083710772 is about 1027.1592860424.

It can be divided in two parts, 10837 and 10772, that added together give a square (21609 = 147²).

The spelling of 1083710772 in words is "one billion, eighty-three million, seven hundred ten thousand, seven hundred seventy-two".