55032120 has 192 divisors, whose sum is σ = 210319200. Its totient is φ = 12303360.

The previous prime is 55032119. The next prime is 55032137. The reversal of 55032120 is 2123055.

It is a happy number.

It is a super-6 number, since 6×55032120⁶ (a number of 48 digits) contains 666666 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 55032093 and 55032102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50946 + ... + 52014.

Almost surely, 2^55032120 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 55032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105159600).

55032120 is an abundant number, since it is smaller than the sum of its proper divisors (155287080).

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

55032120 is a wasteful number, since it uses less digits than its factorization.

55032120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 55032120 is about 7418.3637009788. The cubic root of 55032120 is about 380.3692624774.

Adding to 55032120 its reverse (2123055), we get a palindrome (57155175).

The spelling of 55032120 in words is "fifty-five million, thirty-two thousand, one hundred twenty".