4657632 has 96 divisors (see below), whose sum is σ = 14515200. Its totient is φ = 1279488.

The previous prime is 4657621. The next prime is 4657687. The reversal of 4657632 is 2367564.

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

Its product of digits (30240) is a multiple of the sum of its prime divisors (280).

It is a junction number, because it is equal to n+sod(n) for n = 4657593 and 4657602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19369 + ... + 19607.

It is an arithmetic number, because the mean of its divisors is an integer number (151200).

Almost surely, 2^4657632 is an apocalyptic number.

4657632 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 4657632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7257600).

4657632 is an abundant number, since it is smaller than the sum of its proper divisors (9857568).

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

4657632 is a wasteful number, since it uses less digits than its factorization.

4657632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 280 counting only the distinct ones).

The product of its digits is 30240, while the sum is 33.

The square root of 4657632 is about 2158.1547673881. The cubic root of 4657632 is about 167.0020198878.

The spelling of 4657632 in words is "four million, six hundred fifty-seven thousand, six hundred thirty-two".