54120416 has 48 divisors (see below), whose sum is σ = 122322816. Its totient is φ = 23089536.

The previous prime is 54120413. The next prime is 54120427. The reversal of 54120416 is 61402145.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 54120391 and 54120400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54120413) 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, 68375 + ... + 69161.

It is an arithmetic number, because the mean of its divisors is an integer number (2548392).

Almost surely, 2^54120416 is an apocalyptic number.

54120416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54120416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61161408).

54120416 is an abundant number, since it is smaller than the sum of its proper divisors (68202400).

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

54120416 is a wasteful number, since it uses less digits than its factorization.

54120416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 54120416 is about 7356.6579368624. The cubic root of 54120416 is about 378.2570594533.

The spelling of 54120416 in words is "fifty-four million, one hundred twenty thousand, four hundred sixteen".