54867120 has 160 divisors (see below), whose sum is σ = 212129280. Its totient is φ = 11397120.

The previous prime is 54867107. The next prime is 54867133. The reversal of 54867120 is 2176845.

It is an interprime number because it is at equal distance from previous prime (54867107) and next prime (54867133).

It is a Harshad number since it is a multiple of its sum of digits (33).

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 31 ways as a sum of consecutive naturals, for example, 16996 + ... + 19964.

It is an arithmetic number, because the mean of its divisors is an integer number (1325808).

Almost surely, 2^54867120 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 54867120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106064640).

54867120 is an abundant number, since it is smaller than the sum of its proper divisors (157262160).

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

54867120 is a wasteful number, since it uses less digits than its factorization.

54867120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3003 (or 2997 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 54867120 is about 7407.2343016810. The cubic root of 54867120 is about 379.9887346614.

The spelling of 54867120 in words is "fifty-four million, eight hundred sixty-seven thousand, one hundred twenty".