29310080 has 64 divisors (see below), whose sum is σ = 71842680. Its totient is φ = 11427840.

The previous prime is 29310077. The next prime is 29310101. The reversal of 29310080 is 8001392.

It can be written as a sum of positive squares in 4 ways, for example, as 7706176 + 21603904 = 2776^2 + 4648^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25682 + ... + 26798.

Almost surely, 2^29310080 is an apocalyptic number.

29310080 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 29310080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35921340).

29310080 is an abundant number, since it is smaller than the sum of its proper divisors (42532600).

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

29310080 is a wasteful number, since it uses less digits than its factorization.

29310080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 29310080 is about 5413.8784618792. The cubic root of 29310080 is about 308.3228188931.

The spelling of 29310080 in words is "twenty-nine million, three hundred ten thousand, eighty".