963398520 has 192 divisors, whose sum is σ = 3628048320. Its totient is φ = 217147392.

The previous prime is 963398519. The next prime is 963398533. The reversal of 963398520 is 25893369.

963398520 is a `hidden beast` number, since 9 + 6 + 33 + 98 + 520 = 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 47 ways as a sum of consecutive naturals, for example, 181342 + ... + 186578.

It is an arithmetic number, because the mean of its divisors is an integer number (18896085).

Almost surely, 2^963398520 is an apocalyptic number.

963398520 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 963398520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814024160).

963398520 is an abundant number, since it is smaller than the sum of its proper divisors (2664649800).

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

963398520 is a wasteful number, since it uses less digits than its factorization.

963398520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5334 (or 5327 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 963398520 is about 31038.6616979534. The cubic root of 963398520 is about 987.6475519516.

The spelling of 963398520 in words is "nine hundred sixty-three million, three hundred ninety-eight thousand, five hundred twenty".