967582560 has 384 divisors, whose sum is σ = 3680861184. Its totient is φ = 209018880.

The previous prime is 967582559. The next prime is 967582579. The reversal of 967582560 is 65285769.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5345670 + ... + 5345850.

It is an arithmetic number, because the mean of its divisors is an integer number (9585576).

Almost surely, 2^967582560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 967582560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1840430592).

967582560 is an abundant number, since it is smaller than the sum of its proper divisors (2713278624).

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

967582560 is a wasteful number, since it uses less digits than its factorization.

967582560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The square root of 967582560 is about 31105.9891339272. The cubic root of 967582560 is about 989.0752715970.

It can be divided in two parts, 9675 and 82560, that added together give a triangular number (92235 = T₄₂₉).

The spelling of 967582560 in words is "nine hundred sixty-seven million, five hundred eighty-two thousand, five hundred sixty".