29681632 has 24 divisors (see below), whose sum is σ = 60322752. Its totient is φ = 14361600.

The previous prime is 29681627. The next prime is 29681633. The reversal of 29681632 is 23618692.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 29681591 and 29681600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29681633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13969 + ... + 15952.

It is an arithmetic number, because the mean of its divisors is an integer number (2513448).

Almost surely, 2^29681632 is an apocalyptic number.

It is an amenable number.

29681632 is an abundant number, since it is smaller than the sum of its proper divisors (30641120).

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

29681632 is a wasteful number, since it uses less digits than its factorization.

29681632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29962 (or 29954 counting only the distinct ones).

The product of its digits is 31104, while the sum is 37.

The square root of 29681632 is about 5448.0851682036. The cubic root of 29681632 is about 309.6201799860.

The spelling of 29681632 in words is "twenty-nine million, six hundred eighty-one thousand, six hundred thirty-two".