54756306 has 48 divisors (see below), whose sum is σ = 130804128. Its totient is φ = 16416000.

The previous prime is 54756283. The next prime is 54756311. The reversal of 54756306 is 60365745.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17781 + ... + 20631.

It is an arithmetic number, because the mean of its divisors is an integer number (2725086).

Almost surely, 2^54756306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54756306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65402064).

54756306 is an abundant number, since it is smaller than the sum of its proper divisors (76047822).

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

54756306 is a wasteful number, since it uses less digits than its factorization.

54756306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2967 (or 2964 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 54756306 is about 7399.7504011960. The cubic root of 54756306 is about 379.7327437524.

It can be divided in two parts, 5475 and 6306, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 54756306 in words is "fifty-four million, seven hundred fifty-six thousand, three hundred six".