63789984 has 192 divisors, whose sum is σ = 203575680. Its totient is φ = 19353600.

The previous prime is 63789983. The next prime is 63790007. The reversal of 63789984 is 48998736.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 63789984.

It is not an unprimeable number, because it can be changed into a prime (63789983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 631534 + ... + 631634.

It is an arithmetic number, because the mean of its divisors is an integer number (1060290).

Almost surely, 2^63789984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63789984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101787840).

63789984 is an abundant number, since it is smaller than the sum of its proper divisors (139785696).

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

63789984 is a wasteful number, since it uses less digits than its factorization.

63789984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 166 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 63789984 is about 7986.8632140534. The cubic root of 63789984 is about 399.5619872037.

The spelling of 63789984 in words is "sixty-three million, seven hundred eighty-nine thousand, nine hundred eighty-four".