963224640 has 168 divisors, whose sum is σ = 3786469440. Its totient is φ = 220161024.

The previous prime is 963224617. The next prime is 963224657. The reversal of 963224640 is 46422369.

963224640 is a `hidden beast` number, since 9 + 6 + 3 + 2 + 2 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 963224595 and 963224604.

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, 3730 + ... + 44049.

Almost surely, 2^963224640 is an apocalyptic number.

963224640 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 963224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1893234720).

963224640 is an abundant number, since it is smaller than the sum of its proper divisors (2823244800).

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

963224640 is a wasteful number, since it uses less digits than its factorization.

963224640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47809 (or 47796 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 963224640 is about 31035.8605487265. The cubic root of 963224640 is about 987.5881295058.

The spelling of 963224640 in words is "nine hundred sixty-three million, two hundred twenty-four thousand, six hundred forty".