55837656 has 240 divisors, whose sum is σ = 196630200. Its totient is φ = 14224896.

The previous prime is 55837643. The next prime is 55837657. The reversal of 55837656 is 65673855.

55837656 is a `hidden beast` number, since 5 + 583 + 7 + 65 + 6 = 666.

Its product of digits (756000) is a multiple of the sum of its prime divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55837657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2938815 + ... + 2938833.

Almost surely, 2^55837656 is an apocalyptic number.

55837656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55837656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98315100).

55837656 is an abundant number, since it is smaller than the sum of its proper divisors (140792544).

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

55837656 is a wasteful number, since it uses less digits than its factorization.

55837656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 48 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The square root of 55837656 is about 7472.4598359576. The cubic root of 55837656 is about 382.2161728857.

The spelling of 55837656 in words is "fifty-five million, eight hundred thirty-seven thousand, six hundred fifty-six".