10032960 has 112 divisors (see below), whose sum is σ = 36429696. Its totient is φ = 2291712.

The previous prime is 10032937. The next prime is 10032977. The reversal of 10032960 is 6923001.

10032960 is a nontrivial binomial coefficient, being equal to C(4480, 2).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 5974 + ... + 7466.

Almost surely, 2^10032960 is an apocalyptic number.

10032960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10032960 is the 4479-th triangular number and also the 2240-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10032960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18214848).

10032960 is an abundant number, since it is smaller than the sum of its proper divisors (26396736).

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

10032960 is a wasteful number, since it uses less digits than its factorization.

10032960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 10032960 is about 3167.4848065934. The cubic root of 10032960 is about 215.6799099813.

Adding to 10032960 its reverse (6923001), we get a palindrome (16955961).

The spelling of 10032960 in words is "ten million, thirty-two thousand, nine hundred sixty".