967120560 has 560 divisors, whose sum is σ = 4059454464. Its totient is φ = 209392128.

The previous prime is 967120559. The next prime is 967120573. The reversal of 967120560 is 65021769.

967120560 is a `hidden beast` number, since 9 + 6 + 71 + 20 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 9389469 + ... + 9389571.

Almost surely, 2^967120560 is an apocalyptic number.

967120560 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 967120560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2029727232).

967120560 is an abundant number, since it is smaller than the sum of its proper divisors (3092333904).

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

967120560 is a wasteful number, since it uses less digits than its factorization.

967120560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 967120560 is about 31098.5620246339. The cubic root of 967120560 is about 988.9178257651.

The spelling of 967120560 in words is "nine hundred sixty-seven million, one hundred twenty thousand, five hundred sixty".