29424642 has 64 divisors (see below), whose sum is σ = 67178496. Its totient is φ = 8527680.

The previous prime is 29424623. The next prime is 29424649. The reversal of 29424642 is 24642492.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (29424649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103833 + ... + 104115.

It is an arithmetic number, because the mean of its divisors is an integer number (1049664).

Almost surely, 2^29424642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29424642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33589248).

29424642 is an abundant number, since it is smaller than the sum of its proper divisors (37753854).

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

29424642 is a wasteful number, since it uses less digits than its factorization.

29424642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375.

The product of its digits is 27648, while the sum is 33.

The square root of 29424642 is about 5424.4485434005. The cubic root of 29424642 is about 308.7240023568.

The spelling of 29424642 in words is "twenty-nine million, four hundred twenty-four thousand, six hundred forty-two".