963970560 has 480 divisors, whose sum is σ = 3932248320. Its totient is φ = 213663744.

The previous prime is 963970559. The next prime is 963970573. The reversal of 963970560 is 65079369.

963970560 is a `hidden beast` number, since 9 + 639 + 7 + 0 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6934971 + ... + 6935109.

It is an arithmetic number, because the mean of its divisors is an integer number (8192184).

Almost surely, 2^963970560 is an apocalyptic number.

963970560 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 963970560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1966124160).

963970560 is an abundant number, since it is smaller than the sum of its proper divisors (2968277760).

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

963970560 is a wasteful number, since it uses less digits than its factorization.

963970560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 963970560 is about 31047.8752896233. The cubic root of 963970560 is about 987.8429927475.

The spelling of 963970560 in words is "nine hundred sixty-three million, nine hundred seventy thousand, five hundred sixty".