29712864 has 48 divisors (see below), whose sum is σ = 79909200. Its totient is φ = 9661440.

The previous prime is 29712863. The next prime is 29712899. The reversal of 29712864 is 46821792.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29712863) by changing a digit.

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, 162 + ... + 7710.

It is an arithmetic number, because the mean of its divisors is an integer number (1664775).

Almost surely, 2^29712864 is an apocalyptic number.

29712864 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 29712864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39954600).

29712864 is an abundant number, since it is smaller than the sum of its proper divisors (50196336).

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

29712864 is a wasteful number, since it uses less digits than its factorization.

29712864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7603 (or 7595 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 29712864 is about 5450.9507427604. The cubic root of 29712864 is about 309.7287394674.

The spelling of 29712864 in words is "twenty-nine million, seven hundred twelve thousand, eight hundred sixty-four".