29429680 has 40 divisors (see below), whose sum is σ = 78200352. Its totient is φ = 10089984.

The previous prime is 29429671. The next prime is 29429707. The reversal of 29429680 is 8692492.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×29429680² = 1732212129804800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 25717 + ... + 26836.

Almost surely, 2^29429680 is an apocalyptic number.

29429680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29429680 is an abundant number, since it is smaller than the sum of its proper divisors (48770672).

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

29429680 is a wasteful number, since it uses less digits than its factorization.

29429680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52573 (or 52567 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 29429680 is about 5424.9129025266. The cubic root of 29429680 is about 308.7416209542.

The spelling of 29429680 in words is "twenty-nine million, four hundred twenty-nine thousand, six hundred eighty".