968891760 has 80 divisors (see below), whose sum is σ = 3337301280. Its totient is φ = 258370560.

The previous prime is 968891713. The next prime is 968891771. The reversal of 968891760 is 67198869.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×968891760³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 968891697 and 968891706.

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 15 ways as a sum of consecutive naturals, for example, 222121 + ... + 226440.

It is an arithmetic number, because the mean of its divisors is an integer number (41716266).

Almost surely, 2^968891760 is an apocalyptic number.

968891760 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

968891760 is an abundant number, since it is smaller than the sum of its proper divisors (2368409520).

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

968891760 is a wasteful number, since it uses less digits than its factorization.

968891760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448583 (or 448571 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 968891760 is about 31127.0261991087. The cubic root of 968891760 is about 989.5211642136.

The spelling of 968891760 in words is "nine hundred sixty-eight million, eight hundred ninety-one thousand, seven hundred sixty".