55085940 has 384 divisors, whose sum is σ = 225792000. Its totient is φ = 10824192.

The previous prime is 55085939. The next prime is 55085957. The reversal of 55085940 is 4958055.

It is a happy number.

55085940 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

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

55085940 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 55085895 and 55085904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 933631 + ... + 933689.

It is an arithmetic number, because the mean of its divisors is an integer number (588000).

Almost surely, 2^55085940 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 55085940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112896000).

55085940 is an abundant number, since it is smaller than the sum of its proper divisors (170706060).

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

55085940 is a wasteful number, since it uses less digits than its factorization.

55085940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 55085940 is about 7421.9902991044. The cubic root of 55085940 is about 380.4932192006.

The spelling of 55085940 in words is "fifty-five million, eighty-five thousand, nine hundred forty".