29960280 has 160 divisors (see below), whose sum is σ = 115172640. Its totient is φ = 6842880.

The previous prime is 29960279. The next prime is 29960297. The reversal of 29960280 is 8206992.

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 39 ways as a sum of consecutive naturals, for example, 22020 + ... + 23340.

It is an arithmetic number, because the mean of its divisors is an integer number (719829).

Almost surely, 2^29960280 is an apocalyptic number.

29960280 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 29960280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57586320).

29960280 is an abundant number, since it is smaller than the sum of its proper divisors (85212360).

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

29960280 is a wasteful number, since it uses less digits than its factorization.

29960280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1338 counting only the distinct ones).

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

The square root of 29960280 is about 5473.5984507452. The cubic root of 29960280 is about 310.5860575017.

The spelling of 29960280 in words is "twenty-nine million, nine hundred sixty thousand, two hundred eighty".