55093984 has 48 divisors (see below), whose sum is σ = 118961136. Its totient is φ = 24908800.

The previous prime is 55093981. The next prime is 55094003. The reversal of 55093984 is 48939055.

55093984 = T₁₃₁ + T₁₃₂ + ... + T₆₉₂.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 55093984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55093981) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 98634 + ... + 99190.

It is an arithmetic number, because the mean of its divisors is an integer number (2478357).

Almost surely, 2^55093984 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 55093984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59480568).

55093984 is an abundant number, since it is smaller than the sum of its proper divisors (63867152).

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

55093984 is a wasteful number, since it uses less digits than its factorization.

55093984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 43.

The square root of 55093984 is about 7422.5321824833. The cubic root of 55093984 is about 380.5117389807.

The spelling of 55093984 in words is "fifty-five million, ninety-three thousand, nine hundred eighty-four".