29479680 has 144 divisors (see below), whose sum is σ = 104734560. Its totient is φ = 7852032.

The previous prime is 29479679. The next prime is 29479693. The reversal of 29479680 is 8697492.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 34134 + ... + 34986.

Almost surely, 2^29479680 is an apocalyptic number.

29479680 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 29479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52367280).

29479680 is an abundant number, since it is smaller than the sum of its proper divisors (75254880).

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

29479680 is an equidigital number, since it uses as much as digits as its factorization.

29479680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 29479680 is about 5429.5193157406. The cubic root of 29479680 is about 308.9163691102.

The spelling of 29479680 in words is "twenty-nine million, four hundred seventy-nine thousand, six hundred eighty".