53972640 has 144 divisors (see below), whose sum is σ = 189346248. Its totient is φ = 13989888.

The previous prime is 53972629. The next prime is 53972663. The reversal of 53972640 is 4627935.

53972640 is a `hidden beast` number, since 5 + 3 + 9 + 7 + 2 + 640 = 666.

53972640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 36433296 + 17539344 = 6036^2 + 4188^2 .

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 53972595 and 53972604.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 52774 + ... + 53786.

Almost surely, 2^53972640 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 53972640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94673124).

53972640 is an abundant number, since it is smaller than the sum of its proper divisors (135373608).

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

53972640 is a wasteful number, since it uses less digits than its factorization.

53972640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 53972640 is about 7346.6073802811. The cubic root of 53972640 is about 377.9124681844.

The spelling of 53972640 in words is "fifty-three million, nine hundred seventy-two thousand, six hundred forty".