55319264 has 144 divisors (see below), whose sum is σ = 148274784. Its totient is φ = 19768320.

The previous prime is 55319249. The next prime is 55319267. The reversal of 55319264 is 46291355.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55319267) 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 23 ways as a sum of consecutive naturals, for example, 352274 + ... + 352430.

It is an arithmetic number, because the mean of its divisors is an integer number (1029686).

Almost surely, 2^55319264 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 55319264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74137392).

55319264 is an abundant number, since it is smaller than the sum of its proper divisors (92955520).

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

55319264 is a wasteful number, since it uses less digits than its factorization.

55319264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 190 counting only the distinct ones).

The product of its digits is 32400, while the sum is 35.

The square root of 55319264 is about 7437.6921151658. The cubic root of 55319264 is about 381.0296727854.

The spelling of 55319264 in words is "fifty-five million, three hundred nineteen thousand, two hundred sixty-four".