63783120 has 80 divisors (see below), whose sum is σ = 204129792. Its totient is φ = 16458240.

The previous prime is 63783107. The next prime is 63783121. The reversal of 63783120 is 2138736.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63783121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3154 + ... + 11726.

Almost surely, 2^63783120 is an apocalyptic number.

63783120 is a gapful number since it is divisible by the number (60) 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 63783120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102064896).

63783120 is an abundant number, since it is smaller than the sum of its proper divisors (140346672).

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

63783120 is a wasteful number, since it uses less digits than its factorization.

63783120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8620 (or 8614 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 63783120 is about 7986.4334968746. The cubic root of 63783120 is about 399.5476553202.

It can be divided in two parts, 63783 and 120, that added together give a triangular number (63903 = T₃₅₇).

The spelling of 63783120 in words is "sixty-three million, seven hundred eighty-three thousand, one hundred twenty".