4764032 has 64 divisors (see below), whose sum is σ = 11709600. Its totient is φ = 1880064.

The previous prime is 4763981. The next prime is 4764037. The reversal of 4764032 is 2304674.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 4763992 and 4764010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4764037) 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 7 ways as a sum of consecutive naturals, for example, 11444 + ... + 11852.

Almost surely, 2^4764032 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 4764032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5854800).

4764032 is an abundant number, since it is smaller than the sum of its proper divisors (6945568).

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

4764032 is a wasteful number, since it uses less digits than its factorization.

4764032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 26.

The square root of 4764032 is about 2182.6662594176. Note that the first 3 decimals coincide. The cubic root of 4764032 is about 168.2641347661.

The spelling of 4764032 in words is "four million, seven hundred sixty-four thousand, thirty-two".