29381664 has 72 divisors (see below), whose sum is σ = 83562192. Its totient is φ = 9035520.

The previous prime is 29381629. The next prime is 29381683. The reversal of 29381664 is 46618392.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15319 + ... + 17129.

It is an arithmetic number, because the mean of its divisors is an integer number (1160586).

Almost surely, 2^29381664 is an apocalyptic number.

29381664 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 29381664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41781096).

29381664 is an abundant number, since it is smaller than the sum of its proper divisors (54180528).

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

29381664 is a wasteful number, since it uses less digits than its factorization.

29381664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850 (or 1829 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 29381664 is about 5420.4855871038. The cubic root of 29381664 is about 308.5736204038.

The spelling of 29381664 in words is "twenty-nine million, three hundred eighty-one thousand, six hundred sixty-four".