29130840 has 160 divisors (see below), whose sum is σ = 100972080. Its totient is φ = 7558272.

The previous prime is 29130833. The next prime is 29130847. The reversal of 29130840 is 4803192.

It is an interprime number because it is at equal distance from previous prime (29130833) and next prime (29130847).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29130847) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 787302 + ... + 787338.

Almost surely, 2^29130840 is an apocalyptic number.

29130840 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 29130840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50486040).

29130840 is an abundant number, since it is smaller than the sum of its proper divisors (71841240).

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

29130840 is an frugal number, since it uses more digits than its factorization.

29130840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 29130840 is about 5397.2993246623. The cubic root of 29130840 is about 307.6930376265.

The spelling of 29130840 in words is "twenty-nine million, one hundred thirty thousand, eight hundred forty".