55605312 has 112 divisors (see below), whose sum is σ = 186862720. Its totient is φ = 15883776.

The previous prime is 55605311. The next prime is 55605313. The reversal of 55605312 is 21350655.

55605312 is a `hidden beast` number, since 55 + 605 + 3 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (55605311) and next prime (55605313).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (55605311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9798 + ... + 14394.

Almost surely, 2^55605312 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 55605312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93431360).

55605312 is an abundant number, since it is smaller than the sum of its proper divisors (131257408).

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

55605312 is a wasteful number, since it uses less digits than its factorization.

55605312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4625 (or 4609 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 55605312 is about 7456.8969417580. The cubic root of 55605312 is about 381.6852940149.

Adding to 55605312 its reverse (21350655), we get a palindrome (76955967).

The spelling of 55605312 in words is "fifty-five million, six hundred five thousand, three hundred twelve".