54261306 has 64 divisors (see below), whose sum is σ = 132572160. Its totient is φ = 16314480.

The previous prime is 54261299. The next prime is 54261307. The reversal of 54261306 is 60316245.

54261306 is a `hidden beast` number, since 5 + 42 + 613 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 54261306.

It is not an unprimeable number, because it can be changed into a prime (54261307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98925 + ... + 99471.

It is an arithmetic number, because the mean of its divisors is an integer number (2071440).

Almost surely, 2^54261306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54261306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66286080).

54261306 is an abundant number, since it is smaller than the sum of its proper divisors (78310854).

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

54261306 is a wasteful number, since it uses less digits than its factorization.

54261306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 54261306 is about 7366.2273926346. The cubic root of 54261306 is about 378.5850099927.

The spelling of 54261306 in words is "fifty-four million, two hundred sixty-one thousand, three hundred six".