55632096 has 180 divisors, whose sum is σ = 178561152. Its totient is φ = 16982784.

The previous prime is 55632091. The next prime is 55632107. The reversal of 55632096 is 69023655.

55632096 is a `hidden beast` number, since 5 + 563 + 2 + 0 + 96 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 55632096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55632091) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 437985 + ... + 438111.

Almost surely, 2^55632096 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 55632096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89280576).

55632096 is an abundant number, since it is smaller than the sum of its proper divisors (122929056).

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

55632096 is a wasteful number, since it uses less digits than its factorization.

55632096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 55632096 is about 7458.6926468383. The cubic root of 55632096 is about 381.7465676449.

The spelling of 55632096 in words is "fifty-five million, six hundred thirty-two thousand, ninety-six".