29938080 has 96 divisors (see below), whose sum is σ = 95425344. Its totient is φ = 7888896.

The previous prime is 29938067. The next prime is 29938093. The reversal of 29938080 is 8083992.

It is an interprime number because it is at equal distance from previous prime (29938067) and next prime (29938093).

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46239 + ... + 46881.

It is an arithmetic number, because the mean of its divisors is an integer number (994014).

Almost surely, 2^29938080 is an apocalyptic number.

29938080 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 29938080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47712672).

29938080 is an abundant number, since it is smaller than the sum of its proper divisors (65487264).

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

29938080 is a wasteful number, since it uses less digits than its factorization.

29938080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 29938080 is about 5471.5701585560. The cubic root of 29938080 is about 310.5093257511.

The spelling of 29938080 in words is "twenty-nine million, nine hundred thirty-eight thousand, eighty".