54212960 has 48 divisors (see below), whose sum is σ = 129729600. Its totient is φ = 21405696.

The previous prime is 54212953. The next prime is 54212971. The reversal of 54212960 is 6921245.

It is a happy number.

54212960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 10496 + ... + 14784.

It is an arithmetic number, because the mean of its divisors is an integer number (2702700).

Almost surely, 2^54212960 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 54212960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64864800).

54212960 is an abundant number, since it is smaller than the sum of its proper divisors (75516640).

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

54212960 is a wasteful number, since it uses less digits than its factorization.

54212960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4383 (or 4375 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 54212960 is about 7362.9450629487. The cubic root of 54212960 is about 378.4725387502.

The spelling of 54212960 in words is "fifty-four million, two hundred twelve thousand, nine hundred sixty".