54678420 has 144 divisors (see below), whose sum is σ = 176117760. Its totient is φ = 13708800.

The previous prime is 54678419. The next prime is 54678439. The reversal of 54678420 is 2487645.

54678420 is a `hidden beast` number, since 546 + 78 + 42 + 0 = 666.

It is a super-2 number, since 2×54678420² = 5979459227392800, which contains 22 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 228661 + ... + 228899.

It is an arithmetic number, because the mean of its divisors is an integer number (1223040).

Almost surely, 2^54678420 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 54678420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88058880).

54678420 is an abundant number, since it is smaller than the sum of its proper divisors (121439340).

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

54678420 is a wasteful number, since it uses less digits than its factorization.

54678420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 54678420 is about 7394.4857833388. The cubic root of 54678420 is about 379.5526129100.

The spelling of 54678420 in words is "fifty-four million, six hundred seventy-eight thousand, four hundred twenty".