29085840 has 240 divisors, whose sum is σ = 116064000. Its totient is φ = 6386688.

The previous prime is 29085829. The next prime is 29085841. The reversal of 29085840 is 4858092.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 29085795 and 29085804.

It is not an unprimeable number, because it can be changed into a prime (29085841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146061 + ... + 146259.

It is an arithmetic number, because the mean of its divisors is an integer number (483600).

Almost surely, 2^29085840 is an apocalyptic number.

29085840 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 29085840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58032000).

29085840 is an abundant number, since it is smaller than the sum of its proper divisors (86978160).

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

29085840 is a wasteful number, since it uses less digits than its factorization.

29085840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 29085840 is about 5393.1289619292. The cubic root of 29085840 is about 307.5345192261.

The spelling of 29085840 in words is "twenty-nine million, eighty-five thousand, eight hundred forty".