54601080 has 128 divisors (see below), whose sum is σ = 173905920. Its totient is φ = 13685760.

The previous prime is 54601067. The next prime is 54601109. The reversal of 54601080 is 8010645.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 54601080.

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 31 ways as a sum of consecutive naturals, for example, 201345 + ... + 201615.

It is an arithmetic number, because the mean of its divisors is an integer number (1358640).

Almost surely, 2^54601080 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 54601080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86952960).

54601080 is an abundant number, since it is smaller than the sum of its proper divisors (119304840).

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

54601080 is a wasteful number, since it uses less digits than its factorization.

54601080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 54601080 is about 7389.2543602180. The cubic root of 54601080 is about 379.3735754872.

The spelling of 54601080 in words is "fifty-four million, six hundred one thousand, eighty".