55657632 has 48 divisors (see below), whose sum is σ = 148871520. Its totient is φ = 18200832.

The previous prime is 55657627. The next prime is 55657639. The reversal of 55657632 is 23675655.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (55657639) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 382 + ... + 10557.

It is an arithmetic number, because the mean of its divisors is an integer number (3101490).

Almost surely, 2^55657632 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 55657632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74435760).

55657632 is an abundant number, since it is smaller than the sum of its proper divisors (93213888).

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

55657632 is a wasteful number, since it uses less digits than its factorization.

55657632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11005 (or 10997 counting only the distinct ones).

The product of its digits is 189000, while the sum is 39.

The square root of 55657632 is about 7460.4042785897. The cubic root of 55657632 is about 381.8049679204.

The spelling of 55657632 in words is "fifty-five million, six hundred fifty-seven thousand, six hundred thirty-two".