968154880 has 432 divisors, whose sum is σ = 3131735040. Its totient is φ = 279797760.

The previous prime is 968154857. The next prime is 968154881. The reversal of 968154880 is 88451869.

968154880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968154881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20599017 + ... + 20599063.

Almost surely, 2^968154880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968154880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565867520).

968154880 is an abundant number, since it is smaller than the sum of its proper divisors (2163580160).

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

968154880 is a wasteful number, since it uses less digits than its factorization.

968154880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 49.

The square root of 968154880 is about 31115.1872885252. The cubic root of 968154880 is about 989.2702441023.

The spelling of 968154880 in words is "nine hundred sixty-eight million, one hundred fifty-four thousand, eight hundred eighty".