29093840 has 40 divisors (see below), whose sum is σ = 69478440. Its totient is φ = 11321856.

The previous prime is 29093837. The next prime is 29093863. The reversal of 29093840 is 4839092.

It can be written as a sum of positive squares in 4 ways, for example, as 14684224 + 14409616 = 3832^2 + 3796^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 29093840.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1955 + ... + 7874.

It is an arithmetic number, because the mean of its divisors is an integer number (1736961).

Almost surely, 2^29093840 is an apocalyptic number.

29093840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29093840 is an abundant number, since it is smaller than the sum of its proper divisors (40384600).

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

29093840 is a wasteful number, since it uses less digits than its factorization.

29093840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9879 (or 9873 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 29093840 is about 5393.8705954073. The cubic root of 29093840 is about 307.5627122188.

The spelling of 29093840 in words is "twenty-nine million, ninety-three thousand, eight hundred forty".