29312964 has 72 divisors (see below), whose sum is σ = 79174368. Its totient is φ = 9112320.

The previous prime is 29312929. The next prime is 29312977. The reversal of 29312964 is 46921392.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129019 + ... + 129245.

It is an arithmetic number, because the mean of its divisors is an integer number (1099644).

Almost surely, 2^29312964 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 29312964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39587184).

29312964 is an abundant number, since it is smaller than the sum of its proper divisors (49861404).

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

29312964 is a wasteful number, since it uses less digits than its factorization.

29312964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 460 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 29312964 is about 5414.1448078159. The cubic root of 29312964 is about 308.3329311577.

It can be divided in two parts, 29312 and 964, that added together give a square (30276 = 174²).

The spelling of 29312964 in words is "twenty-nine million, three hundred twelve thousand, nine hundred sixty-four".