55233680 has 60 divisors (see below), whose sum is σ = 136473780. Its totient is φ = 20785152.

The previous prime is 55233677. The next prime is 55233707. The reversal of 55233680 is 8633255.

It can be written as a sum of positive squares in 6 ways, for example, as 355216 + 54878464 = 596^2 + 7408^2 .

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 11 ways as a sum of consecutive naturals, for example, 21926 + ... + 24314.

It is an arithmetic number, because the mean of its divisors is an integer number (2274563).

Almost surely, 2^55233680 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 55233680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68236890).

55233680 is an abundant number, since it is smaller than the sum of its proper divisors (81240100).

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

55233680 is a wasteful number, since it uses less digits than its factorization.

55233680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2436 (or 2413 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 55233680 is about 7431.9364905790. The cubic root of 55233680 is about 380.8330753584.

The spelling of 55233680 in words is "fifty-five million, two hundred thirty-three thousand, six hundred eighty".