55416384 has 168 divisors, whose sum is σ = 171175680. Its totient is φ = 17098752.

The previous prime is 55416371. The next prime is 55416409. The reversal of 55416384 is 48361455.

It is a happy number.

It is a super-3 number, since 3×55416384³ (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 622612 + ... + 622700.

Almost surely, 2^55416384 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 55416384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85587840).

55416384 is an abundant number, since it is smaller than the sum of its proper divisors (115759296).

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

55416384 is a wasteful number, since it uses less digits than its factorization.

55416384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 164 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 55416384 is about 7444.2181590816. The cubic root of 55416384 is about 381.2525244301.

The spelling of 55416384 in words is "fifty-five million, four hundred sixteen thousand, three hundred eighty-four".