5065632 has 192 divisors, whose sum is σ = 17781120. Its totient is φ = 1382400.

The previous prime is 5065607. The next prime is 5065651. The reversal of 5065632 is 2365605.

5065632 is a `hidden beast` number, since 5 + 0 + 656 + 3 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5065596 and 5065605.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123532 + ... + 123572.

It is an arithmetic number, because the mean of its divisors is an integer number (92610).

Almost surely, 2^5065632 is an apocalyptic number.

5065632 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5065632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8890560).

5065632 is an abundant number, since it is smaller than the sum of its proper divisors (12715488).

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

5065632 is a wasteful number, since it uses less digits than its factorization.

5065632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 5065632 is about 2250.6958923853. The cubic root of 5065632 is about 171.7425389105.

Subtracting from 5065632 its sum of digits (27), we obtain a palindrome (5065605).

The spelling of 5065632 in words is "five million, sixty-five thousand, six hundred thirty-two".