960960600 has 144 divisors (see below), whose sum is σ = 3249792000. Its totient is φ = 254465280.

The previous prime is 960960593. The next prime is 960960643. The reversal of 960960600 is 6069069.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 266409 + ... + 269991.

It is an arithmetic number, because the mean of its divisors is an integer number (22568000).

Almost surely, 2^960960600 is an apocalyptic number.

960960600 is a gapful number since it is divisible by the number (90) 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 960960600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624896000).

960960600 is an abundant number, since it is smaller than the sum of its proper divisors (2288831400).

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

960960600 is a wasteful number, since it uses less digits than its factorization.

960960600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3754 (or 3742 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 960960600 is about 30999.3645096154. The cubic root of 960960600 is about 986.8137538409.

The spelling of 960960600 in words is "nine hundred sixty million, nine hundred sixty thousand, six hundred".