29081140 has 72 divisors (see below), whose sum is σ = 68573736. Its totient is φ = 10348800.

The previous prime is 29081137. The next prime is 29081147. The reversal of 29081140 is 4118092.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3254416 + 25826724 = 1804^2 + 5082^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29081147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147522 + ... + 147718.

It is an arithmetic number, because the mean of its divisors is an integer number (952413).

Almost surely, 2^29081140 is an apocalyptic number.

29081140 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 29081140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34286868).

29081140 is an abundant number, since it is smaller than the sum of its proper divisors (39492596).

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

29081140 is a wasteful number, since it uses less digits than its factorization.

29081140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 29081140 is about 5392.6932046984. The cubic root of 29081140 is about 307.5179534321.

The spelling of 29081140 in words is "twenty-nine million, eighty-one thousand, one hundred forty".