54096000 has 384 divisors, whose sum is σ = 217676160. Its totient is φ = 11827200.

The previous prime is 54095981. The next prime is 54096017. The reversal of 54096000 is 69045.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2351989 + ... + 2352011.

It is an arithmetic number, because the mean of its divisors is an integer number (566865).

Almost surely, 2^54096000 is an apocalyptic number.

54096000 is a gapful number since it is divisible by the number (50) 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 54096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108838080).

54096000 is an abundant number, since it is smaller than the sum of its proper divisors (163580160).

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

54096000 is a wasteful number, since it uses less digits than its factorization.

54096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 54096000 is about 7354.9983004757. The cubic root of 54096000 is about 378.2001683314.

It can be divided in two parts, 540 and 96000, that multiplied together give a square (51840000 = 7200²).

The spelling of 54096000 in words is "fifty-four million, ninety-six thousand".