1082540160 has 512 divisors, whose sum is σ = 4249728000. Its totient is φ = 258785280.

The previous prime is 1082540153. The next prime is 1082540177. The reversal of 1082540160 is 610452801.

1082540160 is a `hidden beast` number, since 108 + 2 + 540 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13703001 + ... + 13703079.

It is an arithmetic number, because the mean of its divisors is an integer number (8300250).

Almost surely, 2^1082540160 is an apocalyptic number.

1082540160 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 1082540160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2124864000).

1082540160 is an abundant number, since it is smaller than the sum of its proper divisors (3167187840).

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

1082540160 is a wasteful number, since it uses less digits than its factorization.

1082540160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1082540160 is about 32901.9780560379. The cubic root of 1082540160 is about 1026.7893108859.

Adding to 1082540160 its reverse (610452801), we get a palindrome (1692992961).

The spelling of 1082540160 in words is "one billion, eighty-two million, five hundred forty thousand, one hundred sixty".