29379840 has 144 divisors (see below), whose sum is σ = 107334528. Its totient is φ = 6709248.

The previous prime is 29379829. The next prime is 29379869. The reversal of 29379840 is 4897392.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 29379792 and 29379801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26334 + ... + 27426.

Almost surely, 2^29379840 is an apocalyptic number.

29379840 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 29379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53667264).

29379840 is an abundant number, since it is smaller than the sum of its proper divisors (77954688).

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

29379840 is a wasteful number, since it uses less digits than its factorization.

29379840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 29379840 is about 5420.3173338837. The cubic root of 29379840 is about 308.5672349028.

The spelling of 29379840 in words is "twenty-nine million, three hundred seventy-nine thousand, eight hundred forty".