55609344 has 144 divisors (see below), whose sum is σ = 183980160. Its totient is φ = 15851520.

The previous prime is 55609343. The next prime is 55609373. The reversal of 55609344 is 44390655.

It is a happy number.

55609344 is a `hidden beast` number, since 5 + 5 + 609 + 3 + 44 = 666.

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

It is a super-2 number, since 2×55609344² = 6184798280220672, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 55609299 and 55609308.

It is not an unprimeable number, because it can be changed into a prime (55609343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128809 + ... + 129239.

It is an arithmetic number, because the mean of its divisors is an integer number (1277640).

Almost surely, 2^55609344 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 55609344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91990080).

55609344 is an abundant number, since it is smaller than the sum of its proper divisors (128370816).

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

55609344 is a wasteful number, since it uses less digits than its factorization.

55609344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 55609344 is about 7457.1672906004. The cubic root of 55609344 is about 381.6945192601.

Adding to 55609344 its reverse (44390655), we get a palindrome (99999999).

The spelling of 55609344 in words is "fifty-five million, six hundred nine thousand, three hundred forty-four".