1960947200 has 120 divisors (see below), whose sum is σ = 4886339040. Its totient is φ = 779878400.

The previous prime is 1960947181. The next prime is 1960947211. The reversal of 1960947200 is 27490691.

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, 3058880 + ... + 3059520.

It is an arithmetic number, because the mean of its divisors is an integer number (40719492).

Almost surely, 2^1960947200 is an apocalyptic number.

1960947200 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 1960947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2443169520).

1960947200 is an abundant number, since it is smaller than the sum of its proper divisors (2925391840).

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

1960947200 is an equidigital number, since it uses as much as digits as its factorization.

1960947200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 38.

The square root of 1960947200 is about 44282.5834838032. The cubic root of 1960947200 is about 1251.6665131996. Note that the first 3 decimals are identical.

The spelling of 1960947200 in words is "one billion, nine hundred sixty million, nine hundred forty-seven thousand, two hundred".