29955948 has 48 divisors (see below), whose sum is σ = 76661760. Its totient is φ = 9028800.

The previous prime is 29955943. The next prime is 29955949. The reversal of 29955948 is 84955992.

It is a self number, because there is not a number n which added to its sum of digits gives 29955948.

It is not an unprimeable number, because it can be changed into a prime (29955943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29733 + ... + 30723.

It is an arithmetic number, because the mean of its divisors is an integer number (1597120).

Almost surely, 2^29955948 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 29955948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38330880).

29955948 is an abundant number, since it is smaller than the sum of its proper divisors (46705812).

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

29955948 is a wasteful number, since it uses less digits than its factorization.

29955948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1236 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 51.

The square root of 29955948 is about 5473.2027187014. The cubic root of 29955948 is about 310.5710874185.

It can be divided in two parts, 29955 and 948, that added together give a palindrome (30903).

The spelling of 29955948 in words is "twenty-nine million, nine hundred fifty-five thousand, nine hundred forty-eight".