63123984 has 120 divisors (see below), whose sum is σ = 220289472. Its totient is φ = 16392960.

The previous prime is 63123943. The next prime is 63123989. The reversal of 63123984 is 48932136.

It is a super-4 number, since 4×63123984⁴ (a number of 32 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63123989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8242 + ... + 13934.

Almost surely, 2^63123984 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 63123984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110144736).

63123984 is an abundant number, since it is smaller than the sum of its proper divisors (157165488).

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

63123984 is a wasteful number, since it uses less digits than its factorization.

63123984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5725 (or 5716 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 63123984 is about 7945.0603521937. The cubic root of 63123984 is about 398.1665758963.

It can be divided in two parts, 6312 and 3984, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 63123984 in words is "sixty-three million, one hundred twenty-three thousand, nine hundred eighty-four".