960121008 has 240 divisors, whose sum is σ = 3380712192. Its totient is φ = 247104000.

The previous prime is 960121007. The next prime is 960121027. The reversal of 960121008 is 800121069.

It is a super-3 number, since 3×960121008³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (960121007) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1452198 + ... + 1452858.

Almost surely, 2^960121008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 960121008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690356096).

960121008 is an abundant number, since it is smaller than the sum of its proper divisors (2420591184).

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

960121008 is a wasteful number, since it uses less digits than its factorization.

960121008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 960121008 is about 30985.8194663301. The cubic root of 960121008 is about 986.5262767950.

It can be divided in two parts, 96012 and 1008, that added together give a triangular number (97020 = T₄₄₀).

The spelling of 960121008 in words is "nine hundred sixty million, one hundred twenty-one thousand, eight".