54418320 has 120 divisors (see below), whose sum is σ = 199397952. Its totient is φ = 13190400.

The previous prime is 54418319. The next prime is 54418321. The reversal of 54418320 is 2381445.

It is an interprime number because it is at equal distance from previous prime (54418319) and next prime (54418321).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×54418320² = 5922707103244800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54418321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4485 + ... + 11355.

Almost surely, 2^54418320 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 54418320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99698976).

54418320 is an abundant number, since it is smaller than the sum of its proper divisors (144979632).

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

54418320 is a wasteful number, since it uses less digits than its factorization.

54418320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6901 (or 6892 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 54418320 is about 7376.8773881636. The cubic root of 54418320 is about 378.9498243018.

Adding to 54418320 its reverse (2381445), we get a palindrome (56799765).

The spelling of 54418320 in words is "fifty-four million, four hundred eighteen thousand, three hundred twenty".