1082567160 has 64 divisors (see below), whose sum is σ = 3608560800. Its totient is φ = 288684288.

The previous prime is 1082567147. The next prime is 1082567203. The reversal of 1082567160 is 617652801.

1082567160 is a `hidden beast` number, since 1 + 0 + 82 + 567 + 16 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 500109 + ... + 502268.

Almost surely, 2^1082567160 is an apocalyptic number.

1082567160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1082567160 is an abundant number, since it is smaller than the sum of its proper divisors (2525993640).

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

1082567160 is a wasteful number, since it uses less digits than its factorization.

1082567160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002397 (or 1002387 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1082567160 is about 32902.3883631569. The cubic root of 1082567160 is about 1026.7978473147.

The spelling of 1082567160 in words is "one billion, eighty-two million, five hundred sixty-seven thousand, one hundred sixty".