1960032256 has 144 divisors (see below), whose sum is σ = 4856014800. Its totient is φ = 774438912.

The previous prime is 1960032227. The next prime is 1960032281. The reversal of 1960032256 is 6522300691.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 2422380 + ... + 2423188.

It is an arithmetic number, because the mean of its divisors is an integer number (33722325).

Almost surely, 2^1960032256 is an apocalyptic number.

1960032256 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 1960032256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2428007400).

1960032256 is an abundant number, since it is smaller than the sum of its proper divisors (2895982544).

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

1960032256 is an equidigital number, since it uses as much as digits as its factorization.

1960032256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 1960032256 is about 44272.2515352450. The cubic root of 1960032256 is about 1251.4718142767.

The spelling of 1960032256 in words is "one billion, nine hundred sixty million, thirty-two thousand, two hundred fifty-six".