1761181056 has 160 divisors (see below), whose sum is σ = 5384074080. Its totient is φ = 571069440.

The previous prime is 1761181031. The next prime is 1761181069. The reversal of 1761181056 is 6501811671.

1761181056 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1761181056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 381321 + ... + 385911.

It is an arithmetic number, because the mean of its divisors is an integer number (33650463).

Almost surely, 2^1761181056 is an apocalyptic number.

1761181056 is a gapful number since it is divisible by the number (16) 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 1761181056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2692037040).

1761181056 is an abundant number, since it is smaller than the sum of its proper divisors (3622893024).

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

1761181056 is an equidigital number, since it uses as much as digits as its factorization.

1761181056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4654 (or 4633 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The square root of 1761181056 is about 41966.4277250280. The cubic root of 1761181056 is about 1207.6321555908.

The spelling of 1761181056 in words is "one billion, seven hundred sixty-one million, one hundred eighty-one thousand, fifty-six".