29970688 has 72 divisors (see below), whose sum is σ = 67697280. Its totient is φ = 13117440.

The previous prime is 29970683. The next prime is 29970697. The reversal of 29970688 is 88607992.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (29970683) 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, 81481 + ... + 81847.

It is an arithmetic number, because the mean of its divisors is an integer number (940240).

Almost surely, 2^29970688 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 29970688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33848640).

29970688 is an abundant number, since it is smaller than the sum of its proper divisors (37726592).

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

29970688 is a wasteful number, since it uses less digits than its factorization.

29970688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 49.

The square root of 29970688 is about 5474.5491138540. The cubic root of 29970688 is about 310.6220185078.

The spelling of 29970688 in words is "twenty-nine million, nine hundred seventy thousand, six hundred eighty-eight".