967738680 has 96 divisors (see below), whose sum is σ = 3152682000. Its totient is φ = 257445888.

The previous prime is 967738679. The next prime is 967738691. The reversal of 967738680 is 86837769.

967738680 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158647 + ... + 164633.

Almost surely, 2^967738680 is an apocalyptic number.

967738680 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 967738680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576341000).

967738680 is an abundant number, since it is smaller than the sum of its proper divisors (2184943320).

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

967738680 is a wasteful number, since it uses less digits than its factorization.

967738680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6453 (or 6446 counting only the distinct ones).

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

The square root of 967738680 is about 31108.4985172862. The cubic root of 967738680 is about 989.1284646899.

The spelling of 967738680 in words is "nine hundred sixty-seven million, seven hundred thirty-eight thousand, six hundred eighty".