55752840 has 384 divisors, whose sum is σ = 230428800. Its totient is φ = 11819520.

The previous prime is 55752839. The next prime is 55752847. The reversal of 55752840 is 4825755.

It is a happy number.

55752840 is a `hidden beast` number, since 5 + 575 + 2 + 84 + 0 = 666.

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 = 55752795 and 55752804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55752847) 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 95 ways as a sum of consecutive naturals, for example, 2934351 + ... + 2934369.

It is an arithmetic number, because the mean of its divisors is an integer number (600075).

Almost surely, 2^55752840 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 55752840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115214400).

55752840 is an abundant number, since it is smaller than the sum of its proper divisors (174675960).

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

55752840 is a wasteful number, since it uses less digits than its factorization.

55752840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 55752840 is about 7466.7824395786. The cubic root of 55752840 is about 382.0225492203.

The spelling of 55752840 in words is "fifty-five million, seven hundred fifty-two thousand, eight hundred forty".