29305980 has 216 divisors, whose sum is σ = 104845104. Its totient is φ = 6566400.

The previous prime is 29305973. The next prime is 29305981. The reversal of 29305980 is 8950392.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29305981) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 714760 + ... + 714800.

It is an arithmetic number, because the mean of its divisors is an integer number (485394).

Almost surely, 2^29305980 is an apocalyptic number.

29305980 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 29305980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52422552).

29305980 is an abundant number, since it is smaller than the sum of its proper divisors (75539124).

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

29305980 is a wasteful number, since it uses less digits than its factorization.

29305980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 29305980 is about 5413.4997921862. The cubic root of 29305980 is about 308.3084417857.

The spelling of 29305980 in words is "twenty-nine million, three hundred five thousand, nine hundred eighty".