54149760 has 384 divisors, whose sum is σ = 229132800. Its totient is φ = 11501568.

The previous prime is 54149737. The next prime is 54149773. The reversal of 54149760 is 6794145.

54149760 is a `hidden beast` number, since 541 + 49 + 76 + 0 = 666.

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

It is a super-3 number, since 3×54149760³ (a number of 24 digits) contains 333 as substring.

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

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, 685401 + ... + 685479.

It is an arithmetic number, because the mean of its divisors is an integer number (596700).

Almost surely, 2^54149760 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 54149760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114566400).

54149760 is an abundant number, since it is smaller than the sum of its proper divisors (174983040).

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

54149760 is a wasteful number, since it uses less digits than its factorization.

54149760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 54149760 is about 7358.6520504777. The cubic root of 54149760 is about 378.3254105521.

The spelling of 54149760 in words is "fifty-four million, one hundred forty-nine thousand, seven hundred sixty".