54998960 has 80 divisors (see below), whose sum is σ = 134372352. Its totient is φ = 20908800.

The previous prime is 54998959. The next prime is 54998969. The reversal of 54998960 is 6989945.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 54998899 and 54998908.

It is not an unprimeable number, because it can be changed into a prime (54998969) 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, 165995 + ... + 166325.

Almost surely, 2^54998960 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 54998960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67186176).

54998960 is an abundant number, since it is smaller than the sum of its proper divisors (79373392).

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

54998960 is a wasteful number, since it uses less digits than its factorization.

54998960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 50.

The square root of 54998960 is about 7416.1283699785. The cubic root of 54998960 is about 380.2928490486.

The spelling of 54998960 in words is "fifty-four million, nine hundred ninety-eight thousand, nine hundred sixty".