29057664 has 64 divisors (see below), whose sum is σ = 79706880. Its totient is φ = 9369600.

The previous prime is 29057647. The next prime is 29057683. The reversal of 29057664 is 46675092.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10684 + ... + 13124.

It is an arithmetic number, because the mean of its divisors is an integer number (1245420).

Almost surely, 2^29057664 is an apocalyptic number.

29057664 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 29057664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39853440).

29057664 is an abundant number, since it is smaller than the sum of its proper divisors (50649216).

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

29057664 is a wasteful number, since it uses less digits than its factorization.

29057664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2489 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 29057664 is about 5390.5161162916. The cubic root of 29057664 is about 307.4351823193.

The spelling of 29057664 in words is "twenty-nine million, fifty-seven thousand, six hundred sixty-four".