1962468160 has 56 divisors (see below), whose sum is σ = 4799457000. Its totient is φ = 763766784.

The previous prime is 1962468139. The next prime is 1962468199. The reversal of 1962468160 is 618642691.

It can be written as a sum of positive squares in 4 ways, for example, as 1237350976 + 725117184 = 35176^2 + 26928^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71035 + ... + 94714.

Almost surely, 2^1962468160 is an apocalyptic number.

1962468160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1962468160 is an abundant number, since it is smaller than the sum of its proper divisors (2836988840).

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

1962468160 is a wasteful number, since it uses less digits than its factorization.

1962468160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165803 (or 165793 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The square root of 1962468160 is about 44299.7534981855. The cubic root of 1962468160 is about 1251.9900375857.

The spelling of 1962468160 in words is "one billion, nine hundred sixty-two million, four hundred sixty-eight thousand, one hundred sixty".