29939040 has 144 divisors (see below), whose sum is σ = 108265248. Its totient is φ = 7507968.

The previous prime is 29939027. The next prime is 29939053. The reversal of 29939040 is 4093992.

It is an interprime number because it is at equal distance from previous prime (29939027) and next prime (29939053).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×29939040² = 1792692232243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 29938986 and 29939004.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 23869 + ... + 25091.

It is an arithmetic number, because the mean of its divisors is an integer number (751842).

Almost surely, 2^29939040 is an apocalyptic number.

29939040 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 29939040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54132624).

29939040 is an abundant number, since it is smaller than the sum of its proper divisors (78326208).

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

29939040 is a wasteful number, since it uses less digits than its factorization.

29939040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 29939040 is about 5471.6578840421. The cubic root of 29939040 is about 310.5126446654.

The spelling of 29939040 in words is "twenty-nine million, nine hundred thirty-nine thousand, forty".