55965060 has 96 divisors (see below), whose sum is σ = 177072000. Its totient is φ = 14670720.

The previous prime is 55965047. The next prime is 55965067. The reversal of 55965060 is 6056955.

55965060 is a `hidden beast` number, since 5 + 596 + 5 + 0 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55965067) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32091 + ... + 33789.

It is an arithmetic number, because the mean of its divisors is an integer number (1844500).

Almost surely, 2^55965060 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 55965060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88536000).

55965060 is an abundant number, since it is smaller than the sum of its proper divisors (121106940).

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

55965060 is a wasteful number, since it uses less digits than its factorization.

55965060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The square root of 55965060 is about 7480.9798823416. The cubic root of 55965060 is about 382.5066511723.

The spelling of 55965060 in words is "fifty-five million, nine hundred sixty-five thousand, sixty".