29820140 has 48 divisors (see below), whose sum is σ = 73887744. Its totient is φ = 9892800.

The previous prime is 29820127. The next prime is 29820143. The reversal of 29820140 is 4102892.

It is not an unprimeable number, because it can be changed into a prime (29820143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 905 + ... + 7775.

It is an arithmetic number, because the mean of its divisors is an integer number (1539328).

Almost surely, 2^29820140 is an apocalyptic number.

29820140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29820140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36943872).

29820140 is an abundant number, since it is smaller than the sum of its proper divisors (44067604).

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

29820140 is a wasteful number, since it uses less digits than its factorization.

29820140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6918 (or 6916 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 29820140 is about 5460.7819952824. The cubic root of 29820140 is about 310.1010423312.

The spelling of 29820140 in words is "twenty-nine million, eight hundred twenty thousand, one hundred forty".