4936032 has 96 divisors (see below), whose sum is σ = 14968800. Its totient is φ = 1580544.

The previous prime is 4935989. The next prime is 4936033. The reversal of 4936032 is 2306394.

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

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 4935987 and 4936005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4936033) 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, 24958 + ... + 25154.

It is an arithmetic number, because the mean of its divisors is an integer number (155925).

Almost surely, 2^4936032 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 4936032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7484400).

4936032 is an abundant number, since it is smaller than the sum of its proper divisors (10032768).

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

4936032 is a wasteful number, since it uses less digits than its factorization.

4936032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 4936032 is about 2221.7182539647. The cubic root of 4936032 is about 170.2652376278.

The spelling of 4936032 in words is "four million, nine hundred thirty-six thousand, thirty-two".