29680040 has 32 divisors (see below), whose sum is σ = 71918280. Its totient is φ = 10958592.

The previous prime is 29680039. The next prime is 29680061. The reversal of 29680040 is 4008692.

It can be written as a sum of positive squares in 4 ways, for example, as 14485636 + 15194404 = 3806^2 + 3898^2 .

It is a junction number, because it is equal to n+sod(n) for n = 29679985 and 29680012.

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, 28019 + ... + 29058.

Almost surely, 2^29680040 is an apocalyptic number.

29680040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29680040 is an abundant number, since it is smaller than the sum of its proper divisors (42238240).

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

29680040 is a wasteful number, since it uses less digits than its factorization.

29680040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57101 (or 57097 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 29680040 is about 5447.9390598647. The cubic root of 29680040 is about 309.6146443050.

The spelling of 29680040 in words is "twenty-nine million, six hundred eighty thousand, forty".