5655936 has 128 divisors (see below), whose sum is σ = 17821440. Its totient is φ = 1566720.

The previous prime is 5655929. The next prime is 5655941. The reversal of 5655936 is 6395565.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×5655936² = 63979224072192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 5655894 and 5655903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54861 + ... + 54963.

It is an arithmetic number, because the mean of its divisors is an integer number (139230).

Almost surely, 2^5655936 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 5655936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8910720).

5655936 is an abundant number, since it is smaller than the sum of its proper divisors (12165504).

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

5655936 is a wasteful number, since it uses less digits than its factorization.

5655936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 132 counting only the distinct ones).

The product of its digits is 121500, while the sum is 39.

The square root of 5655936 is about 2378.2211839945. The cubic root of 5655936 is about 178.1701020908.

The spelling of 5655936 in words is "five million, six hundred fifty-five thousand, nine hundred thirty-six".