1080117504 has 216 divisors, whose sum is σ = 3281110560. Its totient is φ = 354336768.

The previous prime is 1080117449. The next prime is 1080117509. The reversal of 1080117504 is 4057110801.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is not an unprimeable number, because it can be changed into a prime (1080117509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6034087 + ... + 6034265.

Almost surely, 2^1080117504 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 1080117504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640555280).

1080117504 is an abundant number, since it is smaller than the sum of its proper divisors (2200993056).

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

1080117504 is an frugal number, since it uses more digits than its factorization.

1080117504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 1080117504 is about 32865.1411681131. The cubic root of 1080117504 is about 1026.0227757333.

The spelling of 1080117504 in words is "one billion, eighty million, one hundred seventeen thousand, five hundred four".