54585570 has 64 divisors (see below), whose sum is σ = 143256960. Its totient is φ = 13229568.

The previous prime is 54585547. The next prime is 54585577. The reversal of 54585570 is 7558545.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (54585577) 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 31 ways as a sum of consecutive naturals, for example, 25086 + ... + 27174.

It is an arithmetic number, because the mean of its divisors is an integer number (2238390).

Almost surely, 2^54585570 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54585570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71628480).

54585570 is an abundant number, since it is smaller than the sum of its proper divisors (88671390).

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

54585570 is a wasteful number, since it uses less digits than its factorization.

54585570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179.

The product of its (nonzero) digits is 140000, while the sum is 39.

The square root of 54585570 is about 7388.2047887156. The cubic root of 54585570 is about 379.3376504262.

It can be divided in two parts, 54585 and 570, that added together give a palindrome (55155).

The spelling of 54585570 in words is "fifty-four million, five hundred eighty-five thousand, five hundred seventy".