55952208 has 180 divisors, whose sum is σ = 179381748. Its totient is φ = 16796160.

The previous prime is 55952201. The next prime is 55952243. The reversal of 55952208 is 80225955.

It can be written as a sum of positive squares in 2 ways, for example, as 5143824 + 50808384 = 2268^2 + 7128^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55952201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1364668 + ... + 1364708.

Almost surely, 2^55952208 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 55952208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89690874).

55952208 is an abundant number, since it is smaller than the sum of its proper divisors (123429540).

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

55952208 is an equidigital number, since it uses as much as digits as its factorization.

55952208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 55952208 is about 7480.1208546386. The cubic root of 55952208 is about 382.4773689032.

The spelling of 55952208 in words is "fifty-five million, nine hundred fifty-two thousand, two hundred eight".