29059940 has 72 divisors (see below), whose sum is σ = 76483512. Its totient is φ = 9192960.

The previous prime is 29059937. The next prime is 29059951. The reversal of 29059940 is 4995092.

It can be written as a sum of positive squares in 4 ways, for example, as 906304 + 28153636 = 952^2 + 5306^2 .

It is a super-2 number, since 2×29059940² = 1688960225607200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 29059894 and 29059903.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11600 + ... + 13880.

It is an arithmetic number, because the mean of its divisors is an integer number (1062271).

Almost surely, 2^29059940 is an apocalyptic number.

29059940 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 29059940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38241756).

29059940 is an abundant number, since it is smaller than the sum of its proper divisors (47423572).

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

29059940 is a wasteful number, since it uses less digits than its factorization.

29059940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2317 (or 2308 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 38.

The square root of 29059940 is about 5390.7272236684. The cubic root of 29059940 is about 307.4432089362.

The spelling of 29059940 in words is "twenty-nine million, fifty-nine thousand, nine hundred forty".