29688120 has 480 divisors, whose sum is σ = 134077680. Its totient is φ = 5806080.

The previous prime is 29688119. The next prime is 29688133. The reversal of 29688120 is 2188692.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1746352 + ... + 1746368.

Almost surely, 2^29688120 is an apocalyptic number.

29688120 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 29688120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67038840).

29688120 is an abundant number, since it is smaller than the sum of its proper divisors (104389560).

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

29688120 is a wasteful number, since it uses less digits than its factorization.

29688120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 29688120 is about 5448.6805742308. The cubic root of 29688120 is about 309.6427379256.

The spelling of 29688120 in words is "twenty-nine million, six hundred eighty-eight thousand, one hundred twenty".