1945192960 has 160 divisors (see below), whose sum is σ = 4877402112. Its totient is φ = 743178240.

The previous prime is 1945192939. The next prime is 1945192979. The reversal of 1945192960 is 692915491.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 1945192960.

It is an unprimeable number.

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, 10078624 + ... + 10078816.

Almost surely, 2^1945192960 is an apocalyptic number.

1945192960 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 1945192960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2438701056).

1945192960 is an abundant number, since it is smaller than the sum of its proper divisors (2932209152).

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

1945192960 is a wasteful number, since it uses less digits than its factorization.

1945192960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 46.

The square root of 1945192960 is about 44104.3417363869. The cubic root of 1945192960 is about 1248.3055355367.

The spelling of 1945192960 in words is "one billion, nine hundred forty-five million, one hundred ninety-two thousand, nine hundred sixty".