54396180 has 72 divisors (see below), whose sum is σ = 165837672. Its totient is φ = 14432256.

The previous prime is 54396157. The next prime is 54396229. The reversal of 54396180 is 8169345.

54396180 is a `hidden beast` number, since 5 + 4 + 39 + 618 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13793796 + 40602384 = 3714^2 + 6372^2 .

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 23 ways as a sum of consecutive naturals, for example, 41292 + ... + 42588.

It is an arithmetic number, because the mean of its divisors is an integer number (2303301).

Almost surely, 2^54396180 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 54396180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82918836).

54396180 is an abundant number, since it is smaller than the sum of its proper divisors (111441492).

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

54396180 is a wasteful number, since it uses less digits than its factorization.

54396180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 54396180 is about 7375.3766005540. The cubic root of 54396180 is about 378.8984256357.

The spelling of 54396180 in words is "fifty-four million, three hundred ninety-six thousand, one hundred eighty".