55689984 has 144 divisors (see below), whose sum is σ = 188375040. Its totient is φ = 15897600.

The previous prime is 55689983. The next prime is 55689989. The reversal of 55689984 is 48998655.

It is a happy number.

55689984 is a `hidden beast` number, since 556 + 8 + 9 + 9 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 55689984.

It is not an unprimeable number, because it can be changed into a prime (55689983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47809 + ... + 48959.

It is an arithmetic number, because the mean of its divisors is an integer number (1308160).

Almost surely, 2^55689984 is an apocalyptic number.

55689984 is a gapful number since it is divisible by the number (54) 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 55689984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94187520).

55689984 is an abundant number, since it is smaller than the sum of its proper divisors (132685056).

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

55689984 is a wasteful number, since it uses less digits than its factorization.

55689984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1163 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The square root of 55689984 is about 7462.5722107059. The cubic root of 55689984 is about 381.8789305939.

The spelling of 55689984 in words is "fifty-five million, six hundred eighty-nine thousand, nine hundred eighty-four".