52583688 has 64 divisors (see below), whose sum is σ = 150796800. Its totient is φ = 16960320.

The previous prime is 52583683. The next prime is 52583693. The reversal of 52583688 is 88638525.

It is a happy number.

52583688 is a `hidden beast` number, since 5 + 2 + 583 + 68 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (52583683) and next prime (52583693).

It is not an unprimeable number, because it can be changed into a prime (52583683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2770 + ... + 10622.

It is an arithmetic number, because the mean of its divisors is an integer number (2356200).

Almost surely, 2^52583688 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 52583688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75398400).

52583688 is an abundant number, since it is smaller than the sum of its proper divisors (98213112).

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

52583688 is a wasteful number, since it uses less digits than its factorization.

52583688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7899 (or 7889 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 52583688 is about 7251.4610941520. The cubic root of 52583688 is about 374.6424752445.

It can be divided in two parts, 52 and 583688, that added together give a triangular number (583740 = T₁₀₈₀).

The spelling of 52583688 in words is "fifty-two million, five hundred eighty-three thousand, six hundred eighty-eight".