29457664 has 36 divisors (see below), whose sum is σ = 61369056. Its totient is φ = 14085632.

The previous prime is 29457653. The next prime is 29457667. The reversal of 29457664 is 46675492.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 29457664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29457667) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3387 + ... + 8389.

It is an arithmetic number, because the mean of its divisors is an integer number (1704696).

Almost surely, 2^29457664 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 29457664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30684528).

29457664 is an abundant number, since it is smaller than the sum of its proper divisors (31911392).

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

29457664 is an equidigital number, since it uses as much as digits as its factorization.

29457664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5042 (or 5028 counting only the distinct ones).

The product of its digits is 362880, while the sum is 43.

The square root of 29457664 is about 5427.4915016055. The cubic root of 29457664 is about 308.8394483685.

It can be divided in two parts, 2945 and 7664, that added together give a square (10609 = 103²).

The spelling of 29457664 in words is "twenty-nine million, four hundred fifty-seven thousand, six hundred sixty-four".