29691144 has 128 divisors (see below), whose sum is σ = 95904000. Its totient is φ = 8335872.

The previous prime is 29691139. The next prime is 29691187. The reversal of 29691144 is 44119692.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 29691099 and 29691108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110242 + ... + 110510.

It is an arithmetic number, because the mean of its divisors is an integer number (749250).

Almost surely, 2^29691144 is an apocalyptic number.

29691144 is a gapful number since it is divisible by the number (24) 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 29691144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47952000).

29691144 is an abundant number, since it is smaller than the sum of its proper divisors (66212856).

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

29691144 is a wasteful number, since it uses less digits than its factorization.

29691144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 354 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 29691144 is about 5448.9580655388. The cubic root of 29691144 is about 309.6532508608.

The spelling of 29691144 in words is "twenty-nine million, six hundred ninety-one thousand, one hundred forty-four".