55633320 has 96 divisors (see below), whose sum is σ = 188697600. Its totient is φ = 14188416.

The previous prime is 55633307. The next prime is 55633321. The reversal of 55633320 is 2333655.

55633320 is a `hidden beast` number, since 5 + 5 + 633 + 3 + 20 = 666.

It is not an unprimeable number, because it can be changed into a prime (55633321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4921 + ... + 11639.

It is an arithmetic number, because the mean of its divisors is an integer number (1965600).

Almost surely, 2^55633320 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 55633320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94348800).

55633320 is an abundant number, since it is smaller than the sum of its proper divisors (133064280).

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

55633320 is a wasteful number, since it uses less digits than its factorization.

55633320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6759 (or 6752 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The square root of 55633320 is about 7458.7746983000. The cubic root of 55633320 is about 381.7493673139.

Adding to 55633320 its reverse (2333655), we get a palindrome (57966975).

It can be divided in two parts, 55 and 633320, that added together give a triangular number (633375 = T₁₁₂₅).

The spelling of 55633320 in words is "fifty-five million, six hundred thirty-three thousand, three hundred twenty".