55645632 has 168 divisors, whose sum is σ = 187712096. Its totient is φ = 15427584.

The previous prime is 55645621. The next prime is 55645633. The reversal of 55645632 is 23654655.

It is a happy number.

55645632 is a `hidden beast` number, since 5 + 5 + 645 + 6 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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 (55645633) 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, 148998 + ... + 149370.

Almost surely, 2^55645632 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 55645632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93856048).

55645632 is an abundant number, since it is smaller than the sum of its proper divisors (132066464).

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

55645632 is a wasteful number, since it uses less digits than its factorization.

55645632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 422 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 55645632 is about 7459.5999892756. The cubic root of 55645632 is about 381.7775264072. Note that the first 3 decimals are identical.

The spelling of 55645632 in words is "fifty-five million, six hundred forty-five thousand, six hundred thirty-two".