55393632 has 240 divisors, whose sum is σ = 193197312. Its totient is φ = 15240960.

The previous prime is 55393631. The next prime is 55393651. The reversal of 55393632 is 23639355.

55393632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (55393631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 780157 + ... + 780227.

Almost surely, 2^55393632 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 55393632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96598656).

55393632 is an abundant number, since it is smaller than the sum of its proper divisors (137803680).

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

55393632 is a wasteful number, since it uses less digits than its factorization.

55393632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 126 counting only the distinct ones).

The product of its digits is 72900, while the sum is 36.

The square root of 55393632 is about 7442.6898363428. The cubic root of 55393632 is about 381.2003410372.

The spelling of 55393632 in words is "fifty-five million, three hundred ninety-three thousand, six hundred thirty-two".