29874240 has 336 divisors, whose sum is σ = 119822976. Its totient is φ = 6758400.

The previous prime is 29874239. The next prime is 29874259. The reversal of 29874240 is 4247892.

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 = 29874195 and 29874204.

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 47 ways as a sum of consecutive naturals, for example, 728620 + ... + 728660.

It is an arithmetic number, because the mean of its divisors is an integer number (356616).

Almost surely, 2^29874240 is an apocalyptic number.

29874240 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 29874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59911488).

29874240 is an abundant number, since it is smaller than the sum of its proper divisors (89948736).

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

29874240 is a wasteful number, since it uses less digits than its factorization.

29874240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 29874240 is about 5465.7332536449. The cubic root of 29874240 is about 310.2884585233.

It can be divided in two parts, 2987 and 4240, that added together give a palindrome (7227).

The spelling of 29874240 in words is "twenty-nine million, eight hundred seventy-four thousand, two hundred forty".