963603540 has 120 divisors (see below), whose sum is σ = 3040662240. Its totient is φ = 255448512.

The previous prime is 963603533. The next prime is 963603569. The reversal of 963603540 is 45306369.

963603540 is a `hidden beast` number, since 9 + 6 + 3 + 603 + 5 + 40 = 666.

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 = 963603495 and 963603504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 288319 + ... + 291641.

It is an arithmetic number, because the mean of its divisors is an integer number (25338852).

Almost surely, 2^963603540 is an apocalyptic number.

963603540 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 963603540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520331120).

963603540 is an abundant number, since it is smaller than the sum of its proper divisors (2077058700).

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

963603540 is a wasteful number, since it uses less digits than its factorization.

963603540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3523 (or 3512 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 963603540 is about 31041.9641775452. The cubic root of 963603540 is about 987.7176071209.

The spelling of 963603540 in words is "nine hundred sixty-three million, six hundred three thousand, five hundred forty".