55641984 has 64 divisors (see below), whose sum is σ = 150992640. Its totient is φ = 18146816.

The previous prime is 55641983. The next prime is 55642007. The reversal of 55641984 is 48914655.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55641983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16507 + ... + 19589.

It is an arithmetic number, because the mean of its divisors is an integer number (2359260).

Almost surely, 2^55641984 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 55641984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75496320).

55641984 is an abundant number, since it is smaller than the sum of its proper divisors (95350656).

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

55641984 is a wasteful number, since it uses less digits than its factorization.

55641984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3147 (or 3135 counting only the distinct ones).

The product of its digits is 172800, while the sum is 42.

The square root of 55641984 is about 7459.3554681353. The cubic root of 55641984 is about 381.7691834052.

The spelling of 55641984 in words is "fifty-five million, six hundred forty-one thousand, nine hundred eighty-four".