55384056 has 192 divisors, whose sum is σ = 188697600. Its totient is φ = 14287104.

The previous prime is 55384051. The next prime is 55384061. The reversal of 55384056 is 65048355.

It is an interprime number because it is at equal distance from previous prime (55384051) and next prime (55384061).

It is a super-2 number, since 2×55384056² = 6134787318022272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 55384056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55384051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 517555 + ... + 517661.

It is an arithmetic number, because the mean of its divisors is an integer number (982800).

Almost surely, 2^55384056 is an apocalyptic number.

55384056 is a gapful number since it is divisible by the number (56) 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 55384056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94348800).

55384056 is an abundant number, since it is smaller than the sum of its proper divisors (133313544).

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

55384056 is a wasteful number, since it uses less digits than its factorization.

55384056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 55384056 is about 7442.0464927330. The cubic root of 55384056 is about 381.1783735011.

The spelling of 55384056 in words is "fifty-five million, three hundred eighty-four thousand, fifty-six".