29985648 has 240 divisors, whose sum is σ = 105171840. Its totient is φ = 7257600.

The previous prime is 29985647. The next prime is 29985679. The reversal of 29985648 is 84658992.

It is a self number, because there is not a number n which added to its sum of digits gives 29985648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29985647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 491538 + ... + 491598.

It is an arithmetic number, because the mean of its divisors is an integer number (438216).

Almost surely, 2^29985648 is an apocalyptic number.

29985648 is a gapful number since it is divisible by the number (28) 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 29985648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52585920).

29985648 is an abundant number, since it is smaller than the sum of its proper divisors (75186192).

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

29985648 is a wasteful number, since it uses less digits than its factorization.

29985648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 103 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 51.

The square root of 29985648 is about 5475.9152659624. The cubic root of 29985648 is about 310.6736926907.

It can be divided in two parts, 2998 and 5648, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 29985648 in words is "twenty-nine million, nine hundred eighty-five thousand, six hundred forty-eight".