29916 has 24 divisors (see below), whose sum is σ = 77840. Its totient is φ = 9936.

The previous prime is 29881. The next prime is 29917. The reversal of 29916 is 61992.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 29916.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29917) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31 + ... + 246.

2²⁹⁹¹⁶ 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 29916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38920).

29916 is an abundant number, since it is smaller than the sum of its proper divisors (47924).

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

29916 is a wasteful number, since it uses less digits than its factorization.

29916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 282 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 29916 is about 172.9624236648. The cubic root of 29916 is about 31.0432971132.

The spelling of 29916 in words is "twenty-nine thousand, nine hundred sixteen".