29166642 has 80 divisors (see below), whose sum is σ = 68999040. Its totient is φ = 9199008.

The previous prime is 29166637. The next prime is 29166647. The reversal of 29166642 is 24666192.

It is an interprime number because it is at equal distance from previous prime (29166637) and next prime (29166647).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 29166597 and 29166606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29166647) 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, 369159 + ... + 369237.

It is an arithmetic number, because the mean of its divisors is an integer number (862488).

Almost surely, 2^29166642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29166642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34499520).

29166642 is an abundant number, since it is smaller than the sum of its proper divisors (39832398).

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

29166642 is a wasteful number, since it uses less digits than its factorization.

29166642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 180 counting only the distinct ones).

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

The square root of 29166642 is about 5400.6149649832. The cubic root of 29166642 is about 307.8190382989.

The spelling of 29166642 in words is "twenty-nine million, one hundred sixty-six thousand, six hundred forty-two".