10351968 has 48 divisors (see below), whose sum is σ = 29647296. Its totient is φ = 3136640.

The previous prime is 10351951. The next prime is 10352029. The reversal of 10351968 is 86915301.

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

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3846 + ... + 5957.

It is an arithmetic number, because the mean of its divisors is an integer number (617652).

Almost surely, 2^10351968 is an apocalyptic number.

It is an amenable number.

10351968 is an abundant number, since it is smaller than the sum of its proper divisors (19295328).

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

10351968 is a wasteful number, since it uses less digits than its factorization.

10351968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9827 (or 9819 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 10351968 is about 3217.4474354681. The cubic root of 10351968 is about 217.9420208857.

It can be divided in two parts, 1035 and 1968, that added together give a palindrome (3003).

The spelling of 10351968 in words is "ten million, three hundred fifty-one thousand, nine hundred sixty-eight".