967498560 has 448 divisors, whose sum is σ = 4134551040. Its totient is φ = 207912960.

The previous prime is 967498549. The next prime is 967498583. The reversal of 967498560 is 65894769.

967498560 is a `hidden beast` number, since 9 + 6 + 74 + 9 + 8 + 560 = 666.

967498560 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 (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 967498497 and 967498506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1027690 + ... + 1028630.

Almost surely, 2^967498560 is an apocalyptic number.

967498560 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 967498560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2067275520).

967498560 is an abundant number, since it is smaller than the sum of its proper divisors (3167052480).

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

967498560 is a wasteful number, since it uses less digits than its factorization.

967498560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 967498560 is about 31104.6388823275. The cubic root of 967498560 is about 989.0466488104.

The spelling of 967498560 in words is "nine hundred sixty-seven million, four hundred ninety-eight thousand, five hundred sixty".