1080461760 has 336 divisors, whose sum is σ = 4047353856. Its totient is φ = 243468288.

The previous prime is 1080461747. The next prime is 1080461773. The reversal of 1080461760 is 671640801.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1080461747) and next prime (1080461773).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×1080461760² = 2334795229644595200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4845009 + ... + 4845231.

It is an arithmetic number, because the mean of its divisors is an integer number (12045696).

Almost surely, 2^1080461760 is an apocalyptic number.

1080461760 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 1080461760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2023676928).

1080461760 is an abundant number, since it is smaller than the sum of its proper divisors (2966892096).

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

1080461760 is a wasteful number, since it uses less digits than its factorization.

1080461760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 1080461760 is about 32870.3781541983. The cubic root of 1080461760 is about 1026.1317691148.

The spelling of 1080461760 in words is "one billion, eighty million, four hundred sixty-one thousand, seven hundred sixty".