55705632 has 48 divisors (see below), whose sum is σ = 152591040. Its totient is φ = 17760512.

The previous prime is 55705621. The next prime is 55705633. The reversal of 55705632 is 23650755.

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

It is a junction number, because it is equal to n+sod(n) for n = 55705593 and 55705602.

It is not an unprimeable number, because it can be changed into a prime (55705633) 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, 10407 + ... + 14822.

It is an arithmetic number, because the mean of its divisors is an integer number (3178980).

Almost surely, 2^55705632 is an apocalyptic number.

It is an amenable number.

55705632 is an abundant number, since it is smaller than the sum of its proper divisors (96885408).

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

55705632 is a wasteful number, since it uses less digits than its factorization.

55705632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25265 (or 25257 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 33.

The square root of 55705632 is about 7463.6205691340. The cubic root of 55705632 is about 381.9146945468.

The spelling of 55705632 in words is "fifty-five million, seven hundred five thousand, six hundred thirty-two".