1955982960 has 120 divisors (see below), whose sum is σ = 6590984400. Its totient is φ = 519837696.

The previous prime is 1955982943. The next prime is 1955983009. The reversal of 1955982960 is 692895591.

1955982960 is a `hidden beast` number, since 1 + 9 + 559 + 8 + 29 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 1955982897 and 1955982906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216616 + ... + 225464.

It is an arithmetic number, because the mean of its divisors is an integer number (54924870).

Almost surely, 2^1955982960 is an apocalyptic number.

1955982960 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 1955982960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3295492200).

1955982960 is an abundant number, since it is smaller than the sum of its proper divisors (4635001440).

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

1955982960 is a wasteful number, since it uses less digits than its factorization.

1955982960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9175 (or 9166 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 54.

The square root of 1955982960 is about 44226.4961307133. The cubic root of 1955982960 is about 1250.6094009894.

The spelling of 1955982960 in words is "one billion, nine hundred fifty-five million, nine hundred eighty-two thousand, nine hundred sixty".