968205455 has 72 divisors (see below), whose sum is σ = 1448898048. Its totient is φ = 618782976.

The previous prime is 968205449. The next prime is 968205461. The reversal of 968205455 is 554502869.

It is a Cunningham number, because it is equal to 31116²-1.

It is an interprime number because it is at equal distance from previous prime (968205449) and next prime (968205461).

It is not a de Polignac number, because 968205455 - 2²⁶ = 901096591 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7623602 + ... + 7623728.

It is an arithmetic number, because the mean of its divisors is an integer number (20123584).

Almost surely, 2^968205455 is an apocalyptic number.

968205455 is a deficient number, since it is larger than the sum of its proper divisors (480692593).

968205455 is a wasteful number, since it uses less digits than its factorization.

968205455 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 44.

The square root of 968205455 is about 31115.9999839311. Note that the first 4 decimals coincide. The cubic root of 968205455 is about 989.2874698143.

The spelling of 968205455 in words is "nine hundred sixty-eight million, two hundred five thousand, four hundred fifty-five".