1960977536 has 128 divisors (see below), whose sum is σ = 4741939200. Its totient is φ = 789046272.

The previous prime is 1960977503. The next prime is 1960977559. The reversal of 1960977536 is 6357790691.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2161595 + ... + 2162501.

It is an arithmetic number, because the mean of its divisors is an integer number (37046400).

Almost surely, 2^1960977536 is an apocalyptic number.

1960977536 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 1960977536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2370969600).

1960977536 is an abundant number, since it is smaller than the sum of its proper divisors (2780961664).

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

1960977536 is a wasteful number, since it uses less digits than its factorization.

1960977536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 53.

The square root of 1960977536 is about 44282.9260099194. The cubic root of 1960977536 is about 1251.6729676246.

The spelling of 1960977536 in words is "one billion, nine hundred sixty million, nine hundred seventy-seven thousand, five hundred thirty-six".