963718560 has 288 divisors, whose sum is σ = 3898806912. Its totient is φ = 220216320.

The previous prime is 963718529. The next prime is 963718583. The reversal of 963718560 is 65817369.

It is a happy number.

963718560 is a `hidden beast` number, since 9 + 637 + 1 + 8 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 270390 + ... + 273930.

It is an arithmetic number, because the mean of its divisors is an integer number (13537524).

Almost surely, 2^963718560 is an apocalyptic number.

963718560 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 963718560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949403456).

963718560 is an abundant number, since it is smaller than the sum of its proper divisors (2935088352).

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

963718560 is a wasteful number, since it uses less digits than its factorization.

963718560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3578 (or 3558 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 963718560 is about 31043.8167756479. The cubic root of 963718560 is about 987.7569050114.

The spelling of 963718560 in words is "nine hundred sixty-three million, seven hundred eighteen thousand, five hundred sixty".