960210816 has 128 divisors (see below), whose sum is σ = 2652652800. Its totient is φ = 307507200.

The previous prime is 960210803. The next prime is 960210859. The reversal of 960210816 is 618012069.

960210816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×960210816² = 1844009622326771712, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1117395 + ... + 1118253.

It is an arithmetic number, because the mean of its divisors is an integer number (20723850).

Almost surely, 2^960210816 is an apocalyptic number.

960210816 is a gapful number since it is divisible by the number (96) 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 960210816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326326400).

960210816 is an abundant number, since it is smaller than the sum of its proper divisors (1692441984).

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

960210816 is a wasteful number, since it uses less digits than its factorization.

960210816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 960210816 is about 30987.2686114798. The cubic root of 960210816 is about 986.5570351365.

The spelling of 960210816 in words is "nine hundred sixty million, two hundred ten thousand, eight hundred sixteen".