29302080 has 112 divisors (see below), whose sum is σ = 94146624. Its totient is φ = 7720960.

The previous prime is 29302079. The next prime is 29302081. The reversal of 29302080 is 8020392.

It is an interprime number because it is at equal distance from previous prime (29302079) and next prime (29302081).

It is a super-2 number, since 2×29302080² = 1717223784652800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 29302080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29302081) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 125644 + ... + 125876.

Almost surely, 2^29302080 is an apocalyptic number.

29302080 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 29302080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47073312).

29302080 is an abundant number, since it is smaller than the sum of its proper divisors (64844544).

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

29302080 is a wasteful number, since it uses less digits than its factorization.

29302080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 29302080 is about 5413.1395696028. The cubic root of 29302080 is about 308.2947647562.

The spelling of 29302080 in words is "twenty-nine million, three hundred two thousand, eighty".