29985984 has 224 divisors, whose sum is σ = 105013760. Its totient is φ = 8211456.

The previous prime is 29985973. The next prime is 29986003. The reversal of 29985984 is 48958992.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 29985984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 447519 + ... + 447585.

Almost surely, 2^29985984 is an apocalyptic number.

29985984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29985984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52506880).

29985984 is an abundant number, since it is smaller than the sum of its proper divisors (75027776).

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

29985984 is a wasteful number, since it uses less digits than its factorization.

29985984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 116 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The square root of 29985984 is about 5475.9459456792. The cubic root of 29985984 is about 310.6748530899.

The spelling of 29985984 in words is "twenty-nine million, nine hundred eighty-five thousand, nine hundred eighty-four".