54354960 has 120 divisors (see below), whose sum is σ = 199165824. Its totient is φ = 13175040.

The previous prime is 54354941. The next prime is 54355013. The reversal of 54354960 is 6945345.

It is a happy number.

54354960 is a `hidden beast` number, since 54 + 3 + 549 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4489 + ... + 11351.

Almost surely, 2^54354960 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 54354960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99582912).

54354960 is an abundant number, since it is smaller than the sum of its proper divisors (144810864).

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

54354960 is a wasteful number, since it uses less digits than its factorization.

54354960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6893 (or 6884 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 54354960 is about 7372.5816373913. The cubic root of 54354960 is about 378.8026950177.

The spelling of 54354960 in words is "fifty-four million, three hundred fifty-four thousand, nine hundred sixty".