963906048 has 240 divisors, whose sum is σ = 3321394560. Its totient is φ = 275208192.

The previous prime is 963906007. The next prime is 963906059. The reversal of 963906048 is 840609369.

963906048 is a `hidden beast` number, since 9 + 6 + 39 + 0 + 604 + 8 = 666.

It is a super-2 number, since 2×963906048² = 1858229738741956608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 963905994 and 963906012.

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, 676665 + ... + 678087.

It is an arithmetic number, because the mean of its divisors is an integer number (13839144).

Almost surely, 2^963906048 is an apocalyptic number.

963906048 is a gapful number since it is divisible by the number (98) 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 963906048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660697280).

963906048 is an abundant number, since it is smaller than the sum of its proper divisors (2357488512).

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

963906048 is a wasteful number, since it uses less digits than its factorization.

963906048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 963906048 is about 31046.8363605698. The cubic root of 963906048 is about 987.8209557160.

The spelling of 963906048 in words is "nine hundred sixty-three million, nine hundred six thousand, forty-eight".