1082745600 has 108 divisors (see below), whose sum is σ = 3573349416. Its totient is φ = 288727040.

The previous prime is 1082745577. The next prime is 1082745607. The reversal of 1082745600 is 65472801.

It is not an unprimeable number, because it can be changed into a prime (1082745607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8997 + ... + 47396.

Almost surely, 2^1082745600 is an apocalyptic number.

1082745600 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 1082745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786674708).

1082745600 is an abundant number, since it is smaller than the sum of its proper divisors (2490603816).

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

1082745600 is an equidigital number, since it uses as much as digits as its factorization.

1082745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56422 (or 56403 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 1082745600 is about 32905.0999086768. The cubic root of 1082745600 is about 1026.8542600555.

The spelling of 1082745600 in words is "one billion, eighty-two million, seven hundred forty-five thousand, six hundred".