52064640 has 256 divisors, whose sum is σ = 193881600. Its totient is φ = 13178880.

The previous prime is 52064633. The next prime is 52064647. The reversal of 52064640 is 4646025.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (52064633) and next prime (52064647).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52064647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397375 + ... + 397505.

It is an arithmetic number, because the mean of its divisors is an integer number (757350).

Almost surely, 2^52064640 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 52064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96940800).

52064640 is an abundant number, since it is smaller than the sum of its proper divisors (141816960).

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

52064640 is a wasteful number, since it uses less digits than its factorization.

52064640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 52064640 is about 7215.5831365178. The cubic root of 52064640 is about 373.4057115907.

The spelling of 52064640 in words is "fifty-two million, sixty-four thousand, six hundred forty".