55507032 has 96 divisors (see below), whose sum is σ = 178214400. Its totient is φ = 15855264.

The previous prime is 55507031. The next prime is 55507063. The reversal of 55507032 is 23070555.

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 = 55506987 and 55507005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55507031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11569 + ... + 15647.

It is an arithmetic number, because the mean of its divisors is an integer number (1856400).

Almost surely, 2^55507032 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 55507032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89107200).

55507032 is an abundant number, since it is smaller than the sum of its proper divisors (122707368).

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

55507032 is a wasteful number, since it uses less digits than its factorization.

55507032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4107 (or 4091 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 27.

The square root of 55507032 is about 7450.3041548651. The cubic root of 55507032 is about 381.4602906152.

Adding to 55507032 its reverse (23070555), we get a palindrome (78577587).

The spelling of 55507032 in words is "fifty-five million, five hundred seven thousand, thirty-two".