1080165240 has 512 divisors, whose sum is σ = 4644864000. Its totient is φ = 216691200.

The previous prime is 1080165239. The next prime is 1080165259. The reversal of 1080165240 is 425610801.

1080165240 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 1 + 652 + 4 + 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 127 ways as a sum of consecutive naturals, for example, 2577751 + ... + 2578169.

It is an arithmetic number, because the mean of its divisors is an integer number (9072000).

Almost surely, 2^1080165240 is an apocalyptic number.

1080165240 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 1080165240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2322432000).

1080165240 is an abundant number, since it is smaller than the sum of its proper divisors (3564698760).

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

1080165240 is a wasteful number, since it uses less digits than its factorization.

1080165240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 478 counting only the distinct ones).

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

The square root of 1080165240 is about 32865.8674006940. The cubic root of 1080165240 is about 1026.0378906016.

The spelling of 1080165240 in words is "one billion, eighty million, one hundred sixty-five thousand, two hundred forty".