55258640 has 40 divisors (see below), whose sum is σ = 129675480. Its totient is φ = 21897216.

The previous prime is 55258607. The next prime is 55258657. The reversal of 55258640 is 4685255.

It can be written as a sum of positive squares in 4 ways, for example, as 6370576 + 48888064 = 2524^2 + 6992^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 55258640.

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 7 ways as a sum of consecutive naturals, for example, 5552 + ... + 11888.

It is an arithmetic number, because the mean of its divisors is an integer number (3241887).

Almost surely, 2^55258640 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 55258640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64837740).

55258640 is an abundant number, since it is smaller than the sum of its proper divisors (74416840).

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

55258640 is a wasteful number, since it uses less digits than its factorization.

55258640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6459 (or 6453 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

The square root of 55258640 is about 7433.6155402334. The cubic root of 55258640 is about 380.8904326451.

The spelling of 55258640 in words is "fifty-five million, two hundred fifty-eight thousand, six hundred forty".