963858240 has 168 divisors, whose sum is σ = 3459650688. Its totient is φ = 245836800.

The previous prime is 963858229. The next prime is 963858289. The reversal of 963858240 is 42858369.

963858240 is a `hidden beast` number, since 9 + 63 + 8 + 582 + 4 + 0 = 666.

963858240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×963858240³ (a number of 28 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 58965 + ... + 73515.

Almost surely, 2^963858240 is an apocalyptic number.

963858240 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 963858240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729825344).

963858240 is an abundant number, since it is smaller than the sum of its proper divisors (2495792448).

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

963858240 is a wasteful number, since it uses less digits than its factorization.

963858240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14597 (or 14584 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 963858240 is about 31046.0664175029. The cubic root of 963858240 is about 987.8046240672.

The spelling of 963858240 in words is "nine hundred sixty-three million, eight hundred fifty-eight thousand, two hundred forty".