54112608 has 288 divisors, whose sum is σ = 188697600. Its totient is φ = 14515200.

The previous prime is 54112607. The next prime is 54112609. The reversal of 54112608 is 80621145.

54112608 is a `hidden beast` number, since 5 + 41 + 12 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (54112607) and next prime (54112609).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54112601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1745553 + ... + 1745583.

It is an arithmetic number, because the mean of its divisors is an integer number (655200).

Almost surely, 2^54112608 is an apocalyptic number.

54112608 is a gapful number since it is divisible by the number (58) 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 54112608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94348800).

54112608 is an abundant number, since it is smaller than the sum of its proper divisors (134584992).

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

54112608 is a wasteful number, since it uses less digits than its factorization.

54112608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 54112608 is about 7356.1272419664. The cubic root of 54112608 is about 378.2388680856.

The spelling of 54112608 in words is "fifty-four million, one hundred twelve thousand, six hundred eight".