29631996 has 72 divisors (see below), whose sum is σ = 77785344. Its totient is φ = 9505440.

The previous prime is 29631991. The next prime is 29632013. The reversal of 29631996 is 69913692.

It is a happy number.

29631996 is a `hidden beast` number, since 2 + 9 + 631 + 9 + 9 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29631991) 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 23 ways as a sum of consecutive naturals, for example, 140331 + ... + 140541.

It is an arithmetic number, because the mean of its divisors is an integer number (1080352).

Almost surely, 2^29631996 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 29631996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38892672).

29631996 is an abundant number, since it is smaller than the sum of its proper divisors (48153348).

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

29631996 is a wasteful number, since it uses less digits than its factorization.

29631996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 346 counting only the distinct ones).

The product of its digits is 157464, while the sum is 45.

The square root of 29631996 is about 5443.5279001765. The cubic root of 29631996 is about 309.4474931436.

It can be divided in two parts, 29 and 631996, that added together give a square (632025 = 795²).

The spelling of 29631996 in words is "twenty-nine million, six hundred thirty-one thousand, nine hundred ninety-six".