54198560 has 96 divisors (see below), whose sum is σ = 140216832. Its totient is φ = 19676160.

The previous prime is 54198559. The next prime is 54198563. The reversal of 54198560 is 6589145.

It is not an unprimeable number, because it can be changed into a prime (54198563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147497 + ... + 147863.

It is an arithmetic number, because the mean of its divisors is an integer number (1460592).

Almost surely, 2^54198560 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 54198560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70108416).

54198560 is an abundant number, since it is smaller than the sum of its proper divisors (86018272).

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

54198560 is a wasteful number, since it uses less digits than its factorization.

54198560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 38.

The square root of 54198560 is about 7361.9671284243. The cubic root of 54198560 is about 378.4390259323.

The spelling of 54198560 in words is "fifty-four million, one hundred ninety-eight thousand, five hundred sixty".