29560968 has 48 divisors (see below), whose sum is σ = 80620800. Its totient is φ = 9784800.

The previous prime is 29560939. The next prime is 29561009. The reversal of 29560968 is 86906592.

29560968 is a `hidden beast` number, since 29 + 560 + 9 + 68 = 666.

It is a Cunningham number, because it is equal to 5437²-1.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9513 + ... + 12231.

It is an arithmetic number, because the mean of its divisors is an integer number (1679600).

Almost surely, 2^29560968 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 29560968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40310400).

29560968 is an abundant number, since it is smaller than the sum of its proper divisors (51059832).

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

29560968 is a wasteful number, since it uses less digits than its factorization.

29560968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2882 (or 2875 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 29560968 is about 5436.9999080375. Note that the first 4 decimals coincide. The cubic root of 29560968 is about 309.2000464134.

The spelling of 29560968 in words is "twenty-nine million, five hundred sixty thousand, nine hundred sixty-eight".