54678600 has 144 divisors (see below), whose sum is σ = 188821620. Its totient is φ = 14169600.

The previous prime is 54678583. The next prime is 54678607. The reversal of 54678600 is 687645.

It is a happy number.

54678600 is a `hidden beast` number, since 5 + 46 + 7 + 8 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 25583364 + 29095236 = 5058^2 + 5394^2 .

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

It is not an unprimeable number, because it can be changed into a prime (54678607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 66190 + ... + 67010.

Almost surely, 2^54678600 is an apocalyptic number.

54678600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54678600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94410810).

54678600 is an abundant number, since it is smaller than the sum of its proper divisors (134143020).

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

54678600 is a wasteful number, since it uses less digits than its factorization.

54678600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 54678600 is about 7394.4979545605. The cubic root of 54678600 is about 379.5530294021.

It can be divided in two parts, 54678 and 600, that added together give a triangular number (55278 = T₃₃₂).

The spelling of 54678600 in words is "fifty-four million, six hundred seventy-eight thousand, six hundred".