967438080 has 720 divisors, whose sum is σ = 4178786304. Its totient is φ = 209018880.

The previous prime is 967438079. The next prime is 967438093. The reversal of 967438080 is 80834769.

It is a happy number.

967438080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22498539 + ... + 22498581.

Almost surely, 2^967438080 is an apocalyptic number.

967438080 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 967438080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2089393152).

967438080 is an abundant number, since it is smaller than the sum of its proper divisors (3211348224).

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

967438080 is a wasteful number, since it uses less digits than its factorization.

967438080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 967438080 is about 31103.6666648805. Note that the first 5 decimals coincide. The cubic root of 967438080 is about 989.0260393783.

The spelling of 967438080 in words is "nine hundred sixty-seven million, four hundred thirty-eight thousand, eighty".