967878360 has 96 divisors (see below), whose sum is σ = 3154788000. Its totient is φ = 257347584.

The previous prime is 967878343. The next prime is 967878383. The reversal of 967878360 is 63878769.

967878360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 967878297 and 967878306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125496 + ... + 132984.

It is an arithmetic number, because the mean of its divisors is an integer number (32862375).

Almost surely, 2^967878360 is an apocalyptic number.

967878360 is a gapful number since it is divisible by the number (90) 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 967878360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577394000).

967878360 is an abundant number, since it is smaller than the sum of its proper divisors (2186909640).

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

967878360 is a wasteful number, since it uses less digits than its factorization.

967878360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7865 (or 7858 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 967878360 is about 31110.7434819549. The cubic root of 967878360 is about 989.1760515093.

The spelling of 967878360 in words is "nine hundred sixty-seven million, eight hundred seventy-eight thousand, three hundred sixty".