55682640 has 200 divisors, whose sum is σ = 208585608. Its totient is φ = 13685760.

The previous prime is 55682629. The next prime is 55682647. The reversal of 55682640 is 4628655.

55682640 is a `hidden beast` number, since 5 + 5 + 6 + 8 + 2 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4359744 + 51322896 = 2088^2 + 7164^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 55682595 and 55682604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55682647) 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 39 ways as a sum of consecutive naturals, for example, 83910 + ... + 84570.

Almost surely, 2^55682640 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 55682640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104292804).

55682640 is an abundant number, since it is smaller than the sum of its proper divisors (152902968).

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

55682640 is a wasteful number, since it uses less digits than its factorization.

55682640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 55682640 is about 7462.0801389425. The cubic root of 55682640 is about 381.8621433612.

The spelling of 55682640 in words is "fifty-five million, six hundred eighty-two thousand, six hundred forty".