29971984 has 80 divisors (see below), whose sum is σ = 69745536. Its totient is φ = 12211200.

The previous prime is 29971973. The next prime is 29972021. The reversal of 29971984 is 48917992.

Its product of digits (326592) is a multiple of the sum of its prime factors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280059 + ... + 280165.

Almost surely, 2^29971984 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 29971984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34872768).

29971984 is an abundant number, since it is smaller than the sum of its proper divisors (39773552).

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

29971984 is a wasteful number, since it uses less digits than its factorization.

29971984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 218 counting only the distinct ones).

The product of its digits is 326592, while the sum is 49.

The square root of 29971984 is about 5474.6674784867. The cubic root of 29971984 is about 310.6264957750.

The spelling of 29971984 in words is "twenty-nine million, nine hundred seventy-one thousand, nine hundred eighty-four".