54667120 has 40 divisors (see below), whose sum is σ = 128648016. Its totient is φ = 21600768.

The previous prime is 54667111. The next prime is 54667133. The reversal of 54667120 is 2176645.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×54667120³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 2524 + ... + 10756.

Almost surely, 2^54667120 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 54667120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64324008).

54667120 is an abundant number, since it is smaller than the sum of its proper divisors (73980896).

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

54667120 is a wasteful number, since it uses less digits than its factorization.

54667120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8329 (or 8323 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 54667120 is about 7393.7216609770. The cubic root of 54667120 is about 379.5264646293.

The spelling of 54667120 in words is "fifty-four million, six hundred sixty-seven thousand, one hundred twenty".