29681040 has 160 divisors (see below), whose sum is σ = 101422080. Its totient is φ = 7147008.

The previous prime is 29681033. The next prime is 29681081. The reversal of 29681040 is 4018692.

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

It is a junction number, because it is equal to n+sod(n) for n = 29680989 and 29681007.

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 31 ways as a sum of consecutive naturals, for example, 104739 + ... + 105021.

It is an arithmetic number, because the mean of its divisors is an integer number (633888).

Almost surely, 2^29681040 is an apocalyptic number.

29681040 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 29681040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50711040).

29681040 is an abundant number, since it is smaller than the sum of its proper divisors (71741040).

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

29681040 is a wasteful number, since it uses less digits than its factorization.

29681040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 29681040 is about 5448.0308369171. The cubic root of 29681040 is about 309.6181215147.

The spelling of 29681040 in words is "twenty-nine million, six hundred eighty-one thousand, forty".