1083262752 has 288 divisors, whose sum is σ = 3748006080. Its totient is φ = 292239360.

The previous prime is 1083262657. The next prime is 1083262753. The reversal of 1083262752 is 2572623801.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1083262752² = 2346916379741227008, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1083262753) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1193883 + ... + 1194789.

It is an arithmetic number, because the mean of its divisors is an integer number (13013910).

Almost surely, 2^1083262752 is an apocalyptic number.

1083262752 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 1083262752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874003040).

1083262752 is an abundant number, since it is smaller than the sum of its proper divisors (2664743328).

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

1083262752 is a wasteful number, since it uses less digits than its factorization.

1083262752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1083262752 is about 32912.9572053318. The cubic root of 1083262752 is about 1027.0177195699.

The spelling of 1083262752 in words is "one billion, eighty-three million, two hundred sixty-two thousand, seven hundred fifty-two".