53687040 has 288 divisors, whose sum is σ = 197793792. Its totient is φ = 12288000.

The previous prime is 53686961. The next prime is 53687059. The reversal of 53687040 is 4078635.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nialpdrome in base 16.

It is a zygodrome in base 2 and base 16.

It is a junction number, because it is equal to n+sod(n) for n = 53686992 and 53687010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1309420 + ... + 1309460.

It is an arithmetic number, because the mean of its divisors is an integer number (686784).

Almost surely, 2^53687040 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 53687040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98896896).

53687040 is an abundant number, since it is smaller than the sum of its proper divisors (144106752).

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

53687040 is a wasteful number, since it uses less digits than its factorization.

53687040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 53687040 is about 7327.1440548143. The cubic root of 53687040 is about 377.2447055378.

The spelling of 53687040 in words is "fifty-three million, six hundred eighty-seven thousand, forty".