4825632 has 96 divisors (see below), whose sum is σ = 14902272. Its totient is φ = 1338624.

The previous prime is 4825627. The next prime is 4825633. The reversal of 4825632 is 2365284.

It is a tau number, because it is divible by the number of its divisors (96).

It is a d-powerful number, because it can be written as 4¹⁰ + 8 + 2⁵ + 5 + 6⁸ + 3⁵ + 2²¹ .

It is a self number, because there is not a number n which added to its sum of digits gives 4825632.

It is not an unprimeable number, because it can be changed into a prime (4825633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28813 + ... + 28979.

It is an arithmetic number, because the mean of its divisors is an integer number (155232).

Almost surely, 2^4825632 is an apocalyptic number.

4825632 is a gapful number since it is divisible by the number (42) 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 4825632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7451136).

4825632 is an abundant number, since it is smaller than the sum of its proper divisors (10076640).

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

4825632 is a wasteful number, since it uses less digits than its factorization.

4825632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 222 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 4825632 is about 2196.7321183977. The cubic root of 4825632 is about 168.9862622027.

The spelling of 4825632 in words is "four million, eight hundred twenty-five thousand, six hundred thirty-two".