53140416 has 112 divisors (see below), whose sum is σ = 169224960. Its totient is φ = 14376960.

The previous prime is 53140411. The next prime is 53140429. The reversal of 53140416 is 61404135.

53140416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53140411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24496 + ... + 26576.

Almost surely, 2^53140416 is an apocalyptic number.

53140416 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 53140416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84612480).

53140416 is an abundant number, since it is smaller than the sum of its proper divisors (116084544).

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

53140416 is a wasteful number, since it uses less digits than its factorization.

53140416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 53140416 is about 7289.7473207238. The cubic root of 53140416 is about 375.9600078183.

The spelling of 53140416 in words is "fifty-three million, one hundred forty thousand, four hundred sixteen".