29441664 has 128 divisors (see below), whose sum is σ = 99388800. Its totient is φ = 8404992.

The previous prime is 29441653. The next prime is 29441669. The reversal of 29441664 is 46614492.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (29441669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23584 + ... + 24800.

It is an arithmetic number, because the mean of its divisors is an integer number (776475).

Almost surely, 2^29441664 is an apocalyptic number.

29441664 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 29441664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49694400).

29441664 is an abundant number, since it is smaller than the sum of its proper divisors (69947136).

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

29441664 is a wasteful number, since it uses less digits than its factorization.

29441664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1229 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 29441664 is about 5426.0173239679. The cubic root of 29441664 is about 308.7835226158.

The spelling of 29441664 in words is "twenty-nine million, four hundred forty-one thousand, six hundred sixty-four".