10019968 has 64 divisors (see below), whose sum is σ = 23353920. Its totient is φ = 4193280.

The previous prime is 10019963. The next prime is 10019969. The reversal of 10019968 is 86991001.

10019968 is nontrivially palindromic in base 15.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (10019963) 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, 47383 + ... + 47593.

It is an arithmetic number, because the mean of its divisors is an integer number (364905).

Almost surely, 2^10019968 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 10019968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11676960).

10019968 is an abundant number, since it is smaller than the sum of its proper divisors (13333952).

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

10019968 is an equidigital number, since it uses as much as digits as its factorization.

10019968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 34.

The square root of 10019968 is about 3165.4333036727. The cubic root of 10019968 is about 215.5867728354.

The spelling of 10019968 in words is "ten million, nineteen thousand, nine hundred sixty-eight".