54193680 has 60 divisors (see below), whose sum is σ = 182002860. Its totient is φ = 14451456.

The previous prime is 54193669. The next prime is 54193691. The reversal of 54193680 is 8639145.

54193680 is a `hidden beast` number, since 541 + 9 + 36 + 80 = 666.

54193680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54193669) and next prime (54193691).

It can be written as a sum of positive squares in 2 ways, for example, as 21566736 + 32626944 = 4644^2 + 5712^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36915 + ... + 38354.

It is an arithmetic number, because the mean of its divisors is an integer number (3033381).

Almost surely, 2^54193680 is an apocalyptic number.

It is an amenable number.

54193680 is an abundant number, since it is smaller than the sum of its proper divisors (127809180).

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

54193680 is a wasteful number, since it uses less digits than its factorization.

54193680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75288 (or 75279 counting only the distinct ones).

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

The square root of 54193680 is about 7361.6356878074. The cubic root of 54193680 is about 378.4276674640.

The spelling of 54193680 in words is "fifty-four million, one hundred ninety-three thousand, six hundred eighty".