52676640 has 144 divisors (see below), whose sum is σ = 181680408. Its totient is φ = 13897728.

The previous prime is 52676639. The next prime is 52676653. The reversal of 52676640 is 4667625.

52676640 is a `hidden beast` number, since 5 + 2 + 6 + 7 + 6 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29289744 + 23386896 = 5412^2 + 4836^2 .

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

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 = 52676595 and 52676604.

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, 225964 + ... + 226196.

Almost surely, 2^52676640 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 52676640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90840204).

52676640 is an abundant number, since it is smaller than the sum of its proper divisors (129003768).

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

52676640 is a wasteful number, since it uses less digits than its factorization.

52676640 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 60480, while the sum is 36.

The square root of 52676640 is about 7257.8674553894. The cubic root of 52676640 is about 374.8630966927.

The spelling of 52676640 in words is "fifty-two million, six hundred seventy-six thousand, six hundred forty".