29489680 has 160 divisors (see below), whose sum is σ = 82280448. Its totient is φ = 9715200.

The previous prime is 29489671. The next prime is 29489683. The reversal of 29489680 is 8698492.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 29489680.

It is not an unprimeable number, because it can be changed into a prime (29489683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 627417 + ... + 627463.

Almost surely, 2^29489680 is an apocalyptic number.

29489680 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 29489680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41140224).

29489680 is an abundant number, since it is smaller than the sum of its proper divisors (52790768).

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

29489680 is a wasteful number, since it uses less digits than its factorization.

29489680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The square root of 29489680 is about 5430.4401294923. The cubic root of 29489680 is about 308.9512950259.

The spelling of 29489680 in words is "twenty-nine million, four hundred eighty-nine thousand, six hundred eighty".