4285632 has 112 divisors (see below), whose sum is σ = 13057632. Its totient is φ = 1228800.

The previous prime is 4285627. The next prime is 4285643. The reversal of 4285632 is 2365824.

It is a d-powerful number, because it can be written as 4⁴ + 2¹⁴ + 8 + 5⁶ + 6 + 3¹⁰ + 2²² .

It is a self number, because there is not a number n which added to its sum of digits gives 4285632.

It is an unprimeable number.

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, 42382 + ... + 42482.

It is an arithmetic number, because the mean of its divisors is an integer number (116586).

Almost surely, 2^4285632 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 4285632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6528816).

4285632 is an abundant number, since it is smaller than the sum of its proper divisors (8772000).

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

4285632 is a wasteful number, since it uses less digits than its factorization.

4285632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 136 counting only the distinct ones).

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

The square root of 4285632 is about 2070.1768040436. The cubic root of 4285632 is about 162.4320125848.

The spelling of 4285632 in words is "four million, two hundred eighty-five thousand, six hundred thirty-two".