1959741168 has 480 divisors, whose sum is σ = 6966220800. Its totient is φ = 463034880.

The previous prime is 1959741131. The next prime is 1959741169. The reversal of 1959741168 is 8611479591.

Its product of digits (544320) is a multiple of the sum of its prime divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 1959741168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1959741169) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 33215923 + ... + 33215981.

It is an arithmetic number, because the mean of its divisors is an integer number (14512960).

Almost surely, 2^1959741168 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 1959741168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3483110400).

1959741168 is an abundant number, since it is smaller than the sum of its proper divisors (5006479632).

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

1959741168 is a wasteful number, since it uses less digits than its factorization.

1959741168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 144 counting only the distinct ones).

The product of its digits is 544320, while the sum is 51.

The square root of 1959741168 is about 44268.9639363742. The cubic root of 1959741168 is about 1251.4098584149.

The spelling of 1959741168 in words is "one billion, nine hundred fifty-nine million, seven hundred forty-one thousand, one hundred sixty-eight".