29505980 has 48 divisors (see below), whose sum is σ = 71124480. Its totient is φ = 10072128.

The previous prime is 29505953. The next prime is 29505991. The reversal of 29505980 is 8950592.

It is a happy number.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58409 + ... + 58911.

It is an arithmetic number, because the mean of its divisors is an integer number (1481760).

Almost surely, 2^29505980 is an apocalyptic number.

29505980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29505980 is an abundant number, since it is smaller than the sum of its proper divisors (41618500).

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

29505980 is a wasteful number, since it uses less digits than its factorization.

29505980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 38.

The square root of 29505980 is about 5431.9407213260. The cubic root of 29505980 is about 309.0082073486.

The spelling of 29505980 in words is "twenty-nine million, five hundred five thousand, nine hundred eighty".