55846224 has 120 divisors (see below), whose sum is σ = 189184320. Its totient is φ = 15012864.

The previous prime is 55846211. The next prime is 55846229. The reversal of 55846224 is 42264855.

It is a happy number.

It is a super-3 number, since 3×55846224³ (a number of 24 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55846229) 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, 15507 + ... + 18765.

It is an arithmetic number, because the mean of its divisors is an integer number (1576536).

Almost surely, 2^55846224 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 55846224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94592160).

55846224 is an abundant number, since it is smaller than the sum of its proper divisors (133338096).

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

55846224 is a wasteful number, since it uses less digits than its factorization.

55846224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3297 (or 3288 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 55846224 is about 7473.0331191558. The cubic root of 55846224 is about 382.2357215852.

The spelling of 55846224 in words is "fifty-five million, eight hundred forty-six thousand, two hundred twenty-four".