29947984 has 60 divisors (see below), whose sum is σ = 65968000. Its totient is φ = 13147200.

The previous prime is 29947979. The next prime is 29947993. The reversal of 29947984 is 48974992.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59767 + ... + 60265.

Almost surely, 2^29947984 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 29947984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32984000).

29947984 is an abundant number, since it is smaller than the sum of its proper divisors (36020016).

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

29947984 is a wasteful number, since it uses less digits than its factorization.

29947984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 543 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 52.

The square root of 29947984 is about 5472.4751255716. The cubic root of 29947984 is about 310.5435624747.

The spelling of 29947984 in words is "twenty-nine million, nine hundred forty-seven thousand, nine hundred eighty-four".