963420120 has 192 divisors, whose sum is σ = 3398522400. Its totient is φ = 235284480.

The previous prime is 963420119. The next prime is 963420121. The reversal of 963420120 is 21024369.

963420120 is a `hidden beast` number, since 9 + 634 + 2 + 0 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (963420119) and next prime (963420121).

It is a super-3 number, since 3×963420120³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (963420121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 649780 + ... + 651260.

Almost surely, 2^963420120 is an apocalyptic number.

963420120 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 963420120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699261200).

963420120 is an abundant number, since it is smaller than the sum of its proper divisors (2435102280).

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

963420120 is a wasteful number, since it uses less digits than its factorization.

963420120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 963420120 is about 31039.0096491496. The cubic root of 963420120 is about 987.6549331226.

Adding to 963420120 its reverse (21024369), we get a palindrome (984444489).

The spelling of 963420120 in words is "nine hundred sixty-three million, four hundred twenty thousand, one hundred twenty".