10345968 has 70 divisors (see below), whose sum is σ = 30088104. Its totient is φ = 3444768.

The previous prime is 10345961. The next prime is 10345997. The reversal of 10345968 is 86954301.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10345961) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 11221 + ... + 12107.

Almost surely, 2^10345968 is an apocalyptic number.

10345968 is a gapful number since it is divisible by the number (18) 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 10345968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15044052).

10345968 is an abundant number, since it is smaller than the sum of its proper divisors (19742136).

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

10345968 is an frugal number, since it uses more digits than its factorization.

10345968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 10345968 is about 3216.5148841565. The cubic root of 10345968 is about 217.8999063543.

The spelling of 10345968 in words is "ten million, three hundred forty-five thousand, nine hundred sixty-eight".