54968448 has 64 divisors (see below), whose sum is σ = 149450400. Its totient is φ = 17891328.

The previous prime is 54968411. The next prime is 54968449. The reversal of 54968448 is 84486945.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 54968397 and 54968406.

It is not an unprimeable number, because it can be changed into a prime (54968449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14848 + ... + 18176.

Almost surely, 2^54968448 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 54968448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74725200).

54968448 is an abundant number, since it is smaller than the sum of its proper divisors (94481952).

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

54968448 is a wasteful number, since it uses less digits than its factorization.

54968448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3389 (or 3377 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 48.

The square root of 54968448 is about 7414.0709465178. The cubic root of 54968448 is about 380.2225104952. Note that the first 3 decimals are identical.

The spelling of 54968448 in words is "fifty-four million, nine hundred sixty-eight thousand, four hundred forty-eight".