29196960 has 96 divisors (see below), whose sum is σ = 99066240. Its totient is φ = 7185408.

The previous prime is 29196949. The next prime is 29196971. The reversal of 29196960 is 6969192.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (29196949) and next prime (29196971).

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

It is an unprimeable number.

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, 3901 + ... + 8579.

It is an arithmetic number, because the mean of its divisors is an integer number (1031940).

Almost surely, 2^29196960 is an apocalyptic number.

29196960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

29196960 is the 3120-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29196960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49533120).

29196960 is an abundant number, since it is smaller than the sum of its proper divisors (69869280).

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

29196960 is a wasteful number, since it uses less digits than its factorization.

29196960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4710 (or 4702 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 42.

The square root of 29196960 is about 5403.4211385011. The cubic root of 29196960 is about 307.9256581131.

The spelling of 29196960 in words is "twenty-nine million, one hundred ninety-six thousand, nine hundred sixty".