10016968 has 48 divisors (see below), whose sum is σ = 21081600. Its totient is φ = 4455360.

The previous prime is 10016959. The next prime is 10017011. The reversal of 10016968 is 86961001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41793 + ... + 42031.

It is an arithmetic number, because the mean of its divisors is an integer number (439200).

Almost surely, 2^10016968 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 10016968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10540800).

10016968 is an abundant number, since it is smaller than the sum of its proper divisors (11064632).

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

10016968 is a wasteful number, since it uses less digits than its factorization.

10016968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 10016968 is about 3164.9593994236. The cubic root of 10016968 is about 215.5652549731.

Adding to 10016968 its reverse (86961001), we get a palindrome (96977969).

The spelling of 10016968 in words is "ten million, sixteen thousand, nine hundred sixty-eight".