52973640 has 192 divisors, whose sum is σ = 182997360. Its totient is φ = 13271040.

The previous prime is 52973639. The next prime is 52973647. The reversal of 52973640 is 4637925.

52973640 is a `hidden beast` number, since 5 + 2 + 9 + 7 + 3 + 640 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 18610596 + 34363044 = 4314^2 + 5862^2 .

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 = 52973595 and 52973604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52973647) 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, 546072 + ... + 546168.

Almost surely, 2^52973640 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 52973640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91498680).

52973640 is an abundant number, since it is smaller than the sum of its proper divisors (130023720).

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

52973640 is a wasteful number, since it uses less digits than its factorization.

52973640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 185 counting only the distinct ones).

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

The square root of 52973640 is about 7278.2992518857. The cubic root of 52973640 is about 375.5662910747.

The spelling of 52973640 in words is "fifty-two million, nine hundred seventy-three thousand, six hundred forty".