54910368 has 72 divisors (see below), whose sum is σ = 160402788. Its totient is φ = 17805312.

The previous prime is 54910351. The next prime is 54910379. The reversal of 54910368 is 86301945.

54910368 is a `hidden beast` number, since 549 + 103 + 6 + 8 = 666.

54910368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 50296464 + 4613904 = 7092^2 + 2148^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8080 + ... + 13232.

Almost surely, 2^54910368 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 54910368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80201394).

54910368 is an abundant number, since it is smaller than the sum of its proper divisors (105492420).

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

54910368 is a wasteful number, since it uses less digits than its factorization.

54910368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5206 (or 5195 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 54910368 is about 7410.1530348570. The cubic root of 54910368 is about 380.0885481552.

It can be divided in two parts, 54910 and 368, that added together give a triangular number (55278 = T₃₃₂).

The spelling of 54910368 in words is "fifty-four million, nine hundred ten thousand, three hundred sixty-eight".