29796960 has 96 divisors (see below), whose sum is σ = 97977600. Its totient is φ = 7597568.

The previous prime is 29796941. The next prime is 29796961. The reversal of 29796960 is 6969792.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29796961) 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 15 ways as a sum of consecutive naturals, for example, 9691 + ... + 12389.

It is an arithmetic number, because the mean of its divisors is an integer number (1020600).

Almost surely, 2^29796960 is an apocalyptic number.

29796960 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 29796960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48988800).

29796960 is an abundant number, since it is smaller than the sum of its proper divisors (68180640).

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

29796960 is a wasteful number, since it uses less digits than its factorization.

29796960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2740 (or 2732 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 48.

The square root of 29796960 is about 5458.6591760248. The cubic root of 29796960 is about 310.0206715317.

The spelling of 29796960 in words is "twenty-nine million, seven hundred ninety-six thousand, nine hundred sixty".