29984964 has 48 divisors (see below), whose sum is σ = 74054400. Its totient is φ = 9416736.

The previous prime is 29984963. The next prime is 29984971. The reversal of 29984964 is 46948992.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (29984963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78927 + ... + 79305.

It is an arithmetic number, because the mean of its divisors is an integer number (1542800).

Almost surely, 2^29984964 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 29984964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37027200).

29984964 is an abundant number, since it is smaller than the sum of its proper divisors (44069436).

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

29984964 is a wasteful number, since it uses less digits than its factorization.

29984964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 750 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 51.

The square root of 29984964 is about 5475.8528102936. The cubic root of 29984964 is about 310.6713304226.

The spelling of 29984964 in words is "twenty-nine million, nine hundred eighty-four thousand, nine hundred sixty-four".