29412960 has 96 divisors (see below), whose sum is σ = 95891040. Its totient is φ = 7569408.

The previous prime is 29412953. The next prime is 29412967. The reversal of 29412960 is 6921492.

It is an interprime number because it is at equal distance from previous prime (29412953) and next prime (29412967).

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29412967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12864 + ... + 14976.

It is an arithmetic number, because the mean of its divisors is an integer number (998865).

Almost surely, 2^29412960 is an apocalyptic number.

29412960 is a gapful number since it is divisible by the number (20) 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 29412960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47945520).

29412960 is an abundant number, since it is smaller than the sum of its proper divisors (66478080).

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

29412960 is a wasteful number, since it uses less digits than its factorization.

29412960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2160 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 29412960 is about 5423.3716450194. The cubic root of 29412960 is about 308.6831410136.

The spelling of 29412960 in words is "twenty-nine million, four hundred twelve thousand, nine hundred sixty".