29530944 has 84 divisors (see below), whose sum is σ = 85429344. Its totient is φ = 9752832.

The previous prime is 29530939. The next prime is 29530957. The reversal of 29530944 is 44903592.

It is a super-2 number, since 2×29530944² = 1744153307062272, which contains 22 as substring.

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 = 29530899 and 29530908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96039 + ... + 96345.

It is an arithmetic number, because the mean of its divisors is an integer number (1017016).

Almost surely, 2^29530944 is an apocalyptic number.

29530944 is a gapful number since it is divisible by the number (24) 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 29530944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42714672).

29530944 is an abundant number, since it is smaller than the sum of its proper divisors (55898400).

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

29530944 is a wasteful number, since it uses less digits than its factorization.

29530944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 29530944 is about 5434.2381250733. The cubic root of 29530944 is about 309.0953298728.

The spelling of 29530944 in words is "twenty-nine million, five hundred thirty thousand, nine hundred forty-four".