55637280 has 216 divisors, whose sum is σ = 200874492. Its totient is φ = 14556672.

The previous prime is 55637273. The next prime is 55637291. The reversal of 55637280 is 8273655.

It can be written as a sum of positive squares in 2 ways, for example, as 55532304 + 104976 = 7452^2 + 324^2 .

It is a tau number, because it is divible by the number of its divisors (216).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1049734 + ... + 1049786.

Almost surely, 2^55637280 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 55637280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100437246).

55637280 is an abundant number, since it is smaller than the sum of its proper divisors (145237212).

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

55637280 is an frugal number, since it uses more digits than its factorization.

55637280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 55637280 is about 7459.0401527274. The cubic root of 55637280 is about 381.7584247854.

The spelling of 55637280 in words is "fifty-five million, six hundred thirty-seven thousand, two hundred eighty".