1082267824 has 40 divisors (see below), whose sum is σ = 2296728000. Its totient is φ = 489960000.

The previous prime is 1082267807. The next prime is 1082267827. The reversal of 1082267824 is 4287622801.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1082267827) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31927 + ... + 56425.

It is an arithmetic number, because the mean of its divisors is an integer number (57418200).

Almost surely, 2^1082267824 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 1082267824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148364000).

1082267824 is an abundant number, since it is smaller than the sum of its proper divisors (1214460176).

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

1082267824 is a wasteful number, since it uses less digits than its factorization.

1082267824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24769 (or 24763 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 1082267824 is about 32897.8391995584. The cubic root of 1082267824 is about 1026.7032001017.

The spelling of 1082267824 in words is "one billion, eighty-two million, two hundred sixty-seven thousand, eight hundred twenty-four".