29978984 has 48 divisors (see below), whose sum is σ = 67524480. Its totient is φ = 12428640.

The previous prime is 29978981. The next prime is 29979029. The reversal of 29978984 is 48987992.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (29978981) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10919 + ... + 13385.

It is an arithmetic number, because the mean of its divisors is an integer number (1406760).

Almost surely, 2^29978984 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 29978984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33762240).

29978984 is an abundant number, since it is smaller than the sum of its proper divisors (37545496).

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

29978984 is a wasteful number, since it uses less digits than its factorization.

29978984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2518 (or 2507 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 56.

The square root of 29978984 is about 5475.3067493977. The cubic root of 29978984 is about 310.6506763144.

The spelling of 29978984 in words is "twenty-nine million, nine hundred seventy-eight thousand, nine hundred eighty-four".