1082162880 has 504 divisors, whose sum is σ = 4249436256. Its totient is φ = 251412480.

The previous prime is 1082162843. The next prime is 1082162929. The reversal of 1082162880 is 882612801.

1082162880 is a `hidden beast` number, since 1 + 0 + 8 + 21 + 628 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34908465 + ... + 34908495.

Almost surely, 2^1082162880 is an apocalyptic number.

1082162880 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 1082162880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2124718128).

1082162880 is an abundant number, since it is smaller than the sum of its proper divisors (3167273376).

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

1082162880 is a wasteful number, since it uses less digits than its factorization.

1082162880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 1082162880 is about 32896.2441625180. The cubic root of 1082162880 is about 1026.6700136695.

The spelling of 1082162880 in words is "one billion, eighty-two million, one hundred sixty-two thousand, eight hundred eighty".