55785024 has 168 divisors, whose sum is σ = 176406048. Its totient is φ = 17418240.

The previous prime is 55785017. The next prime is 55785043. The reversal of 55785024 is 42058755.

It is a happy number.

55785024 is a `hidden beast` number, since 557 + 85 + 0 + 24 = 666.

It is a super-2 number, since 2×55785024² = 6223937805361152, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 55785024.

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 23 ways as a sum of consecutive naturals, for example, 264279 + ... + 264489.

It is an arithmetic number, because the mean of its divisors is an integer number (1050036).

Almost surely, 2^55785024 is an apocalyptic number.

55785024 is a gapful number since it is divisible by the number (54) 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 55785024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88203024).

55785024 is an abundant number, since it is smaller than the sum of its proper divisors (120621024).

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

55785024 is a wasteful number, since it uses less digits than its factorization.

55785024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 233 counting only the distinct ones).

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

The square root of 55785024 is about 7468.9372738027. The cubic root of 55785024 is about 382.0960441231.

The spelling of 55785024 in words is "fifty-five million, seven hundred eighty-five thousand, twenty-four".