29290080 has 96 divisors (see below), whose sum is σ = 93139200. Its totient is φ = 7736832.

The previous prime is 29290069. The next prime is 29290091. The reversal of 29290080 is 8009292.

It is an interprime number because it is at equal distance from previous prime (29290069) and next prime (29290091).

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 66501 + ... + 66939.

It is an arithmetic number, because the mean of its divisors is an integer number (970200).

Almost surely, 2^29290080 is an apocalyptic number.

29290080 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 29290080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46569600).

29290080 is an abundant number, since it is smaller than the sum of its proper divisors (63849120).

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

29290080 is a wasteful number, since it uses less digits than its factorization.

29290080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 29290080 is about 5412.0310420396. The cubic root of 29290080 is about 308.2526739750.

The spelling of 29290080 in words is "twenty-nine million, two hundred ninety thousand, eighty".