53854080 has 128 divisors (see below), whose sum is σ = 196231680. Its totient is φ = 12306432.

The previous prime is 53854067. The next prime is 53854081. The reversal of 53854080 is 8045835.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53854081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11437 + ... + 15443.

It is an arithmetic number, because the mean of its divisors is an integer number (1533060).

Almost surely, 2^53854080 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 53854080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98115840).

53854080 is an abundant number, since it is smaller than the sum of its proper divisors (142377600).

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

53854080 is a wasteful number, since it uses less digits than its factorization.

53854080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4036 (or 4024 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 53854080 is about 7338.5339135280. The cubic root of 53854080 is about 377.6355491763.

The spelling of 53854080 in words is "fifty-three million, eight hundred fifty-four thousand, eighty".