54804736 has 108 divisors (see below), whose sum is σ = 135265788. Its totient is φ = 22020096.

The previous prime is 54804713. The next prime is 54804803. The reversal of 54804736 is 63740845.

It can be written as a sum of positive squares in 2 ways, for example, as 49787136 + 5017600 = 7056^2 + 2240^2 .

It is a junction number, because it is equal to n+sod(n) for n = 54804695 and 54804704.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 213120 + ... + 213376.

It is an arithmetic number, because the mean of its divisors is an integer number (1252461).

Almost surely, 2^54804736 is an apocalyptic number.

54804736 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54804736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67632894).

54804736 is an abundant number, since it is smaller than the sum of its proper divisors (80461052).

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

54804736 is a wasteful number, since it uses less digits than its factorization.

54804736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 54804736 is about 7403.0220856080. The cubic root of 54804736 is about 379.8446641192.

The spelling of 54804736 in words is "fifty-four million, eight hundred four thousand, seven hundred thirty-six".