10016960 has 56 divisors (see below), whose sum is σ = 24908256. Its totient is φ = 3829760.

The previous prime is 10016959. The next prime is 10017011. The reversal of 10016960 is 6961001.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6680 + ... + 8040.

Almost surely, 2^10016960 is an apocalyptic number.

10016960 is a gapful number since it is divisible by the number (10) 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 10016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12454128).

10016960 is an abundant number, since it is smaller than the sum of its proper divisors (14891296).

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

10016960 is a wasteful number, since it uses less digits than its factorization.

10016960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 10016960 is about 3164.9581355841. The cubic root of 10016960 is about 215.5651975864.

Adding to 10016960 its reverse (6961001), we get a palindrome (16977961).

The spelling of 10016960 in words is "ten million, sixteen thousand, nine hundred sixty".