4642632 has 48 divisors (see below), whose sum is σ = 13316940. Its totient is φ = 1456128.

The previous prime is 4642621. The next prime is 4642643. The reversal of 4642632 is 2362464.

It is an interprime number because it is at equal distance from previous prime (4642621) and next prime (4642643).

It can be written as a sum of positive squares in 2 ways, for example, as 4639716 + 2916 = 2154^2 + 54^2 .

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 4642596 and 4642605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 673 + ... + 3120.

Almost surely, 2^4642632 is an apocalyptic number.

It is an amenable number.

4642632 is an abundant number, since it is smaller than the sum of its proper divisors (8674308).

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

4642632 is a wasteful number, since it uses less digits than its factorization.

4642632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3822 (or 3815 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 4642632 is about 2154.6767739037. The cubic root of 4642632 is about 166.8225492693.

The spelling of 4642632 in words is "four million, six hundred forty-two thousand, six hundred thirty-two".