1082088144 has 120 divisors (see below), whose sum is σ = 3125371392. Its totient is φ = 349305600.

The previous prime is 1082088053. The next prime is 1082088151. The reversal of 1082088144 is 4418802801.

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 = 1082088099 and 1082088108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 682777 + ... + 684359.

Almost surely, 2^1082088144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1082088144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562685696).

1082088144 is an abundant number, since it is smaller than the sum of its proper divisors (2043283248).

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

1082088144 is a wasteful number, since it uses less digits than its factorization.

1082088144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 1082088144 is about 32895.1082077564. The cubic root of 1082088144 is about 1026.6463786025.

The spelling of 1082088144 in words is "one billion, eighty-two million, eighty-eight thousand, one hundred forty-four".