29249920 has 64 divisors (see below), whose sum is σ = 79927200. Its totient is φ = 10027008.

The previous prime is 29249917. The next prime is 29249923. The reversal of 29249920 is 2994292.

It is an interprime number because it is at equal distance from previous prime (29249917) and next prime (29249923).

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 29249920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29249923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1216 + ... + 7744.

Almost surely, 2^29249920 is an apocalyptic number.

29249920 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 29249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39963600).

29249920 is an abundant number, since it is smaller than the sum of its proper divisors (50677280).

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

29249920 is an equidigital number, since it uses as much as digits as its factorization.

29249920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6555 (or 6543 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 29249920 is about 5408.3195171883. The cubic root of 29249920 is about 308.1117264874. Note that the first 3 decimals are identical.

The spelling of 29249920 in words is "twenty-nine million, two hundred forty-nine thousand, nine hundred twenty".