10015968 has 48 divisors (see below), whose sum is σ = 26577936. Its totient is φ = 3302400.

The previous prime is 10015963. The next prime is 10015969. The reversal of 10015968 is 86951001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10015968² = 200639229954048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10015961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9180 + ... + 10212.

It is an arithmetic number, because the mean of its divisors is an integer number (553707).

Almost surely, 2^10015968 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 10015968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13288968).

10015968 is an abundant number, since it is smaller than the sum of its proper divisors (16561968).

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

10015968 is a wasteful number, since it uses less digits than its factorization.

10015968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 10015968 is about 3164.8014155710. The cubic root of 10015968 is about 215.5580813976.

Adding to 10015968 its reverse (86951001), we get a palindrome (96966969).

The spelling of 10015968 in words is "ten million, fifteen thousand, nine hundred sixty-eight".