29633142 has 120 divisors (see below), whose sum is σ = 80467128. Its totient is φ = 7244160.

The previous prime is 29633111. The next prime is 29633143. The reversal of 29633142 is 24133692.

Its product of digits (7776) is a multiple of the sum of its prime factors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29633143) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1743118 + ... + 1743134.

Almost surely, 2^29633142 is an apocalyptic number.

29633142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 29633142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40233564).

29633142 is an abundant number, since it is smaller than the sum of its proper divisors (50833986).

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

29633142 is a wasteful number, since it uses less digits than its factorization.

29633142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 40 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

The square root of 29633142 is about 5443.6331617772. The cubic root of 29633142 is about 309.4514823254.

It can be divided in two parts, 2963 and 3142, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 29633142 in words is "twenty-nine million, six hundred thirty-three thousand, one hundred forty-two".