29142666 has 80 divisors (see below), whose sum is σ = 77130240. Its totient is φ = 8048160.

The previous prime is 29142661. The next prime is 29142667. The reversal of 29142666 is 66624192.

It is a self number, because there is not a number n which added to its sum of digits gives 29142666.

It is not an unprimeable number, because it can be changed into a prime (29142661) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34740 + ... + 35568.

It is an arithmetic number, because the mean of its divisors is an integer number (964128).

Almost surely, 2^29142666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29142666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38565120).

29142666 is an abundant number, since it is smaller than the sum of its proper divisors (47987574).

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

29142666 is a wasteful number, since it uses less digits than its factorization.

29142666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 872 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 29142666 is about 5398.3947614082. The cubic root of 29142666 is about 307.7346691708.

It can be divided in two parts, 29 and 142666, that multiplied together give a palindrome (4137314).

The spelling of 29142666 in words is "twenty-nine million, one hundred forty-two thousand, six hundred sixty-six".