53627040 has 144 divisors (see below), whose sum is σ = 184923648. Its totient is φ = 14151168.

The previous prime is 53627029. The next prime is 53627069. The reversal of 53627040 is 4072635.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 53626995 and 53627013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240369 + ... + 240591.

It is an arithmetic number, because the mean of its divisors is an integer number (1284192).

Almost surely, 2^53627040 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 53627040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92461824).

53627040 is an abundant number, since it is smaller than the sum of its proper divisors (131296608).

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

53627040 is a wasteful number, since it uses less digits than its factorization.

53627040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 53627040 is about 7323.0485455171. The cubic root of 53627040 is about 377.1041184138.

Adding to 53627040 its reverse (4072635), we get a palindrome (57699675).

The spelling of 53627040 in words is "fifty-three million, six hundred twenty-seven thousand, forty".