12633984 has 96 divisors (see below), whose sum is σ = 39700440. Its totient is φ = 3824640.

The previous prime is 12633979. The next prime is 12633997. The reversal of 12633984 is 48933621.

12633984 = 82² + 83² + ... + 337².

12633984 is a `hidden beast` number, since 1 + 263 + 398 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12174 + ... + 13170.

Almost surely, 2^12633984 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 12633984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19850220).

12633984 is an abundant number, since it is smaller than the sum of its proper divisors (27066456).

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

12633984 is a wasteful number, since it uses less digits than its factorization.

12633984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1013 counting only the distinct ones).

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

The square root of 12633984 is about 3554.4316001296. The cubic root of 12633984 is about 232.9056947343.

The spelling of 12633984 in words is "twelve million, six hundred thirty-three thousand, nine hundred eighty-four".