29820924 has 72 divisors (see below), whose sum is σ = 91230048. Its totient is φ = 8017920.

The previous prime is 29820919. The next prime is 29820929. The reversal of 29820924 is 42902892.

It is an interprime number because it is at equal distance from previous prime (29820919) and next prime (29820929).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29820929) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 804 + ... + 7764.

It is an arithmetic number, because the mean of its divisors is an integer number (1267084).

Almost surely, 2^29820924 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29820924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45615024).

29820924 is an abundant number, since it is smaller than the sum of its proper divisors (61409124).

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

29820924 is a wasteful number, since it uses less digits than its factorization.

29820924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6995 (or 6990 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 29820924 is about 5460.8537794012. The cubic root of 29820924 is about 310.1037599250.

The spelling of 29820924 in words is "twenty-nine million, eight hundred twenty thousand, nine hundred twenty-four".