55460160 has 336 divisors, whose sum is σ = 229331520. Its totient is φ = 12579840.

The previous prime is 55460143. The next prime is 55460161. The reversal of 55460160 is 6106455.

It is a happy number.

55460160 is a `hidden beast` number, since 5 + 54 + 601 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55460161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 423295 + ... + 423425.

Almost surely, 2^55460160 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 55460160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114665760).

55460160 is an abundant number, since it is smaller than the sum of its proper divisors (173871360).

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

55460160 is a wasteful number, since it uses less digits than its factorization.

55460160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 55460160 is about 7447.1578471253. The cubic root of 55460160 is about 381.3528877557.

The spelling of 55460160 in words is "fifty-five million, four hundred sixty thousand, one hundred sixty".