29073664 has 27 divisors (see below), whose sum is σ = 58206477. Its totient is φ = 14493696.

The previous prime is 29073661. The next prime is 29073673. The reversal of 29073664 is 46637092.

The square root of 29073664 is 5392.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7840000 + 21233664 = 2800^2 + 4608^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29073661) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 86104 + ... + 86440.

Almost surely, 2^29073664 is an apocalyptic number.

29073664 is the 5392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29073664

29073664 is an abundant number, since it is smaller than the sum of its proper divisors (29132813).

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

29073664 is an frugal number, since it uses more digits than its factorization.

29073664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The cubic root of 29073664 is about 307.4915995678.

The spelling of 29073664 in words is "twenty-nine million, seventy-three thousand, six hundred sixty-four".