29919312 has 60 divisors (see below), whose sum is σ = 84286644. Its totient is φ = 9907200.

The previous prime is 29919287. The next prime is 29919353. The reversal of 29919312 is 21391992.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11048976 + 18870336 = 3324^2 + 4344^2 .

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24312 + ... + 25512.

Almost surely, 2^29919312 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 29919312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42143322).

29919312 is an abundant number, since it is smaller than the sum of its proper divisors (54367332).

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

29919312 is a wasteful number, since it uses less digits than its factorization.

29919312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388 (or 1379 counting only the distinct ones).

The product of its digits is 8748, while the sum is 36.

The square root of 29919312 is about 5469.8548426809. The cubic root of 29919312 is about 310.4444267193. Note that the first 4 decimals are identical.

The spelling of 29919312 in words is "twenty-nine million, nine hundred nineteen thousand, three hundred twelve".