960963840 has 108 divisors (see below), whose sum is σ = 3324874644. Its totient is φ = 256253952.

The previous prime is 960963799. The next prime is 960963859. The reversal of 960963840 is 48369069.

960963840 is a `hidden beast` number, since 9 + 6 + 0 + 9 + 638 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 183223296 + 777740544 = 13536^2 + 27888^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 30189 + ... + 53228.

Almost surely, 2^960963840 is an apocalyptic number.

960963840 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

960963840 is an abundant number, since it is smaller than the sum of its proper divisors (2363910804).

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

960963840 is a wasteful number, since it uses less digits than its factorization.

960963840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83444 (or 83427 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 960963840 is about 30999.4167687071. The cubic root of 960963840 is about 986.8148628954.

The spelling of 960963840 in words is "nine hundred sixty million, nine hundred sixty-three thousand, eight hundred forty".