55345032 has 80 divisors (see below), whose sum is σ = 156119040. Its totient is φ = 18317664.

The previous prime is 55345019. The next prime is 55345049. The reversal of 55345032 is 23054355.

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 = 55344987 and 55345005.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 144313 + ... + 144695.

It is an arithmetic number, because the mean of its divisors is an integer number (1951488).

Almost surely, 2^55345032 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 55345032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78059520).

55345032 is an abundant number, since it is smaller than the sum of its proper divisors (100774008).

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

55345032 is a wasteful number, since it uses less digits than its factorization.

55345032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 55345032 is about 7439.4241712649. The cubic root of 55345032 is about 381.0888254675.

Adding to 55345032 its reverse (23054355), we get a palindrome (78399387).

The spelling of 55345032 in words is "fifty-five million, three hundred forty-five thousand, thirty-two".