963690624 has 192 divisors, whose sum is σ = 3010152600. Its totient is φ = 294174720.

The previous prime is 963690613. The next prime is 963690631. The reversal of 963690624 is 426096369.

963690624 is a `hidden beast` number, since 9 + 636 + 9 + 0 + 6 + 2 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 910108224 + 53582400 = 30168^2 + 7320^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 963690624.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3429364 + ... + 3429644.

Almost surely, 2^963690624 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 963690624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505076300).

963690624 is an abundant number, since it is smaller than the sum of its proper divisors (2046461976).

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

963690624 is a wasteful number, since it uses less digits than its factorization.

963690624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 963690624 is about 31043.3668277138. The cubic root of 963690624 is about 987.7473606469.

The spelling of 963690624 in words is "nine hundred sixty-three million, six hundred ninety thousand, six hundred twenty-four".