54160416 has 72 divisors (see below), whose sum is σ = 155822940. Its totient is φ = 17842176.

The previous prime is 54160411. The next prime is 54160417. The reversal of 54160416 is 61406145.

54160416 is a `hidden beast` number, since 5 + 41 + 604 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39690000 + 14470416 = 6300^2 + 3804^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×54160416² = 5866701322586112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 54160416.

It is not an unprimeable number, because it can be changed into a prime (54160411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24576 + ... + 26688.

Almost surely, 2^54160416 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 54160416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77911470).

54160416 is an abundant number, since it is smaller than the sum of its proper divisors (101662524).

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

54160416 is a wasteful number, since it uses less digits than its factorization.

54160416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218 (or 2207 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 54160416 is about 7359.3760605095. The cubic root of 54160416 is about 378.3502255046.

The spelling of 54160416 in words is "fifty-four million, one hundred sixty thousand, four hundred sixteen".