55632042 has 64 divisors (see below), whose sum is σ = 129024000. Its totient is φ = 17748720.

The previous prime is 55631993. The next prime is 55632077. The reversal of 55632042 is 24023655.

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

It is a junction number, because it is equal to n+sod(n) for n = 55631997 and 55632015.

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 31 ways as a sum of consecutive naturals, for example, 279459 + ... + 279657.

It is an arithmetic number, because the mean of its divisors is an integer number (2016000).

Almost surely, 2^55632042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55632042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64512000).

55632042 is an abundant number, since it is smaller than the sum of its proper divisors (73391958).

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

55632042 is a wasteful number, since it uses less digits than its factorization.

55632042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 55632042 is about 7458.6890269001. The cubic root of 55632042 is about 381.7464441291.

Adding to 55632042 its reverse (24023655), we get a palindrome (79655697).

The spelling of 55632042 in words is "fifty-five million, six hundred thirty-two thousand, forty-two".