29984640 has 256 divisors, whose sum is σ = 115153920. Its totient is φ = 6488064.

The previous prime is 29984629. The next prime is 29984659. The reversal of 29984640 is 4648992.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 29984592 and 29984601.

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, 309072 + ... + 309168.

It is an arithmetic number, because the mean of its divisors is an integer number (449820).

Almost surely, 2^29984640 is an apocalyptic number.

29984640 is a gapful number since it is divisible by the number (20) 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 29984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57576960).

29984640 is an abundant number, since it is smaller than the sum of its proper divisors (85169280).

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

29984640 is a wasteful number, since it uses less digits than its factorization.

29984640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 29984640 is about 5475.8232257808. The cubic root of 29984640 is about 310.6702114409.

The spelling of 29984640 in words is "twenty-nine million, nine hundred eighty-four thousand, six hundred forty".