55986840 has 192 divisors, whose sum is σ = 224078400. Its totient is φ = 11805696.

The previous prime is 55986829. The next prime is 55986841. The reversal of 55986840 is 4868955.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55986841) 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, 31906 + ... + 33614.

It is an arithmetic number, because the mean of its divisors is an integer number (1167075).

Almost surely, 2^55986840 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 55986840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112039200).

55986840 is an abundant number, since it is smaller than the sum of its proper divisors (168091560).

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

55986840 is a wasteful number, since it uses less digits than its factorization.

55986840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 55986840 is about 7482.4354323977. The cubic root of 55986840 is about 382.5562649514.

The spelling of 55986840 in words is "fifty-five million, nine hundred eighty-six thousand, eight hundred forty".