968108401 has 16 divisors (see below), whose sum is σ = 1105045200. Its totient is φ = 840204288.

The previous prime is 968108399. The next prime is 968108411. The reversal of 968108401 is 104801869.

It is a happy number.

968108401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 272415025 + 695693376 = 16505^2 + 26376^2 .

It is a cyclic number.

It is not a de Polignac number, because 968108401 - 2¹ = 968108399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (968108411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309835 + ... + 312943.

It is an arithmetic number, because the mean of its divisors is an integer number (69065325).

Almost surely, 2^968108401 is an apocalyptic number.

It is an amenable number.

968108401 is a deficient number, since it is larger than the sum of its proper divisors (136936799).

968108401 is a wasteful number, since it uses less digits than its factorization.

968108401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4548.

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 968108401 is about 31114.4403934893. The cubic root of 968108401 is about 989.2544129481.

The spelling of 968108401 in words is "nine hundred sixty-eight million, one hundred eight thousand, four hundred one".