54668416 has 64 divisors (see below), whose sum is σ = 121836960. Its totient is φ = 24217600.

The previous prime is 54668399. The next prime is 54668423. The reversal of 54668416 is 61486645.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57255 + ... + 58201.

Almost surely, 2^54668416 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 54668416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60918480).

54668416 is an abundant number, since it is smaller than the sum of its proper divisors (67168544).

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

54668416 is a wasteful number, since it uses less digits than its factorization.

54668416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 1001 counting only the distinct ones).

The product of its digits is 138240, while the sum is 40.

The square root of 54668416 is about 7393.8093023826. The cubic root of 54668416 is about 379.5294637655.

The spelling of 54668416 in words is "fifty-four million, six hundred sixty-eight thousand, four hundred sixteen".