55628640 has 192 divisors, whose sum is σ = 198374400. Its totient is φ = 14556672.

The previous prime is 55628633. The next prime is 55628717. The reversal of 55628640 is 4682655.

55628640 is a `hidden beast` number, since 5 + 5 + 6 + 2 + 8 + 640 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 55628595 and 55628604.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 341199 + ... + 341361.

It is an arithmetic number, because the mean of its divisors is an integer number (1033200).

Almost surely, 2^55628640 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 55628640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99187200).

55628640 is an abundant number, since it is smaller than the sum of its proper divisors (142745760).

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

55628640 is a wasteful number, since it uses less digits than its factorization.

55628640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 252 counting only the distinct ones).

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

The square root of 55628640 is about 7458.4609672505. The cubic root of 55628640 is about 381.7386624753.

The spelling of 55628640 in words is "fifty-five million, six hundred twenty-eight thousand, six hundred forty".