1761485856 has 96 divisors (see below), whose sum is σ = 5031266688. Its totient is φ = 536371200.

The previous prime is 1761485851. The next prime is 1761485879. The reversal of 1761485856 is 6585841671.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1761485799 and 1761485808.

It is not an unprimeable number, because it can be changed into a prime (1761485851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113781 + ... + 128331.

It is an arithmetic number, because the mean of its divisors is an integer number (52409028).

Almost surely, 2^1761485856 is an apocalyptic number.

1761485856 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 1761485856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2515633344).

1761485856 is an abundant number, since it is smaller than the sum of its proper divisors (3269780832).

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

1761485856 is a wasteful number, since it uses less digits than its factorization.

1761485856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14674 (or 14666 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 51.

The square root of 1761485856 is about 41970.0590421315. The cubic root of 1761485856 is about 1207.7018181329.

The spelling of 1761485856 in words is "one billion, seven hundred sixty-one million, four hundred eighty-five thousand, eight hundred fifty-six".