52642464 has 216 divisors, whose sum is σ = 175125888. Its totient is φ = 13789440.

The previous prime is 52642463. The next prime is 52642477. The reversal of 52642464 is 46424625.

Its product of digits (46080) is a multiple of the sum of its prime factors (96).

It is not an unprimeable number, because it can be changed into a prime (52642463) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1698129 + ... + 1698159.

It is an arithmetic number, because the mean of its divisors is an integer number (810768).

Almost surely, 2^52642464 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 52642464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87562944).

52642464 is an abundant number, since it is smaller than the sum of its proper divisors (122483424).

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

52642464 is a wasteful number, since it uses less digits than its factorization.

52642464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 62 counting only the distinct ones).

The product of its digits is 46080, while the sum is 33.

The square root of 52642464 is about 7255.5126627965. The cubic root of 52642464 is about 374.7820101946.

The spelling of 52642464 in words is "fifty-two million, six hundred forty-two thousand, four hundred sixty-four".