53871840 has 288 divisors, whose sum is σ = 212284800. Its totient is φ = 12303360.

The previous prime is 53871799. The next prime is 53871841. The reversal of 53871840 is 4817835.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 53871795 and 53871804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53871841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 300871 + ... + 301049.

It is an arithmetic number, because the mean of its divisors is an integer number (737100).

Almost surely, 2^53871840 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 53871840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106142400).

53871840 is an abundant number, since it is smaller than the sum of its proper divisors (158412960).

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

53871840 is a wasteful number, since it uses less digits than its factorization.

53871840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 53871840 is about 7339.7438647408. The cubic root of 53871840 is about 377.6770568345.

It can be divided in two parts, 5387 and 1840, that added together give a palindrome (7227).

The spelling of 53871840 in words is "fifty-three million, eight hundred seventy-one thousand, eight hundred forty".