29820960 has 288 divisors, whose sum is σ = 115577280. Its totient is φ = 7216128.

The previous prime is 29820953. The next prime is 29820979. The reversal of 29820960 is 6902892.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 505411 + ... + 505469.

It is an arithmetic number, because the mean of its divisors is an integer number (401310).

Almost surely, 2^29820960 is an apocalyptic number.

29820960 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 29820960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57788640).

29820960 is an abundant number, since it is smaller than the sum of its proper divisors (85756320).

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

29820960 is a wasteful number, since it uses less digits than its factorization.

29820960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 29820960 is about 5460.8570755880. The cubic root of 29820960 is about 310.1038847114.

The spelling of 29820960 in words is "twenty-nine million, eight hundred twenty thousand, nine hundred sixty".