55342080 has 132 divisors (see below), whose sum is σ = 191918532. Its totient is φ = 14745600.

The previous prime is 55342073. The next prime is 55342081. The reversal of 55342080 is 8024355.

It can be written as a sum of positive squares in 2 ways, for example, as 6230016 + 49112064 = 2496^2 + 7008^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55342081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45480 + ... + 46680.

Almost surely, 2^55342080 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 55342080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95959266).

55342080 is an abundant number, since it is smaller than the sum of its proper divisors (136576452).

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

55342080 is a wasteful number, since it uses less digits than its factorization.

55342080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 55342080 is about 7439.2257661668. The cubic root of 55342080 is about 381.0820498265.

The spelling of 55342080 in words is "fifty-five million, three hundred forty-two thousand, eighty".