55579264 has 64 divisors (see below), whose sum is σ = 120637440. Its totient is φ = 25353216.

The previous prime is 55579261. The next prime is 55579267. The reversal of 55579264 is 46297555.

It is an interprime number because it is at equal distance from previous prime (55579261) and next prime (55579267).

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 55579264.

It is not an unprimeable number, because it can be changed into a prime (55579261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211197 + ... + 211459.

It is an arithmetic number, because the mean of its divisors is an integer number (1884960).

Almost surely, 2^55579264 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 55579264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60318720).

55579264 is an abundant number, since it is smaller than the sum of its proper divisors (65058176).

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

55579264 is a wasteful number, since it uses less digits than its factorization.

55579264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 405 counting only the distinct ones).

The product of its digits is 378000, while the sum is 43.

The square root of 55579264 is about 7455.1501661603. The cubic root of 55579264 is about 381.6256852531.

The spelling of 55579264 in words is "fifty-five million, five hundred seventy-nine thousand, two hundred sixty-four".