963394560 has 440 divisors, whose sum is σ = 3638026656. Its totient is φ = 243302400.

The previous prime is 963394519. The next prime is 963394577. The reversal of 963394560 is 65493369.

It is a happy number.

963394560 is a `hidden beast` number, since 9 + 633 + 9 + 4 + 5 + 6 + 0 = 666.

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9538510 + ... + 9538610.

Almost surely, 2^963394560 is an apocalyptic number.

963394560 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 963394560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819013328).

963394560 is an abundant number, since it is smaller than the sum of its proper divisors (2674632096).

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

963394560 is a wasteful number, since it uses less digits than its factorization.

963394560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The square root of 963394560 is about 31038.5979064777. The cubic root of 963394560 is about 987.6461987250.

The spelling of 963394560 in words is "nine hundred sixty-three million, three hundred ninety-four thousand, five hundred sixty".