29838240 has 96 divisors (see below), whose sum is σ = 104448960. Its totient is φ = 7955712.

The previous prime is 29838233. The next prime is 29838253. The reversal of 29838240 is 4283892.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 29838195 and 29838204.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 867 + ... + 7773.

It is an arithmetic number, because the mean of its divisors is an integer number (1088010).

Almost surely, 2^29838240 is an apocalyptic number.

29838240 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 29838240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52224480).

29838240 is an abundant number, since it is smaller than the sum of its proper divisors (74610720).

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

29838240 is a wasteful number, since it uses less digits than its factorization.

29838240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6931 (or 6917 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 29838240 is about 5462.4390156779. The cubic root of 29838240 is about 310.1637705594.

The spelling of 29838240 in words is "twenty-nine million, eight hundred thirty-eight thousand, two hundred forty".