29671920 has 200 divisors, whose sum is σ = 108929040. Its totient is φ = 7464960.

The previous prime is 29671883. The next prime is 29671921. The reversal of 29671920 is 2917692.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29671921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 123000 + ... + 123240.

Almost surely, 2^29671920 is an apocalyptic number.

29671920 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 29671920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54464520).

29671920 is an abundant number, since it is smaller than the sum of its proper divisors (79257120).

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

29671920 is a wasteful number, since it uses less digits than its factorization.

29671920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 29671920 is about 5447.1937729440. The cubic root of 29671920 is about 309.5864064700.

Adding to 29671920 its sum of digits (36), we get a triangular number (29671956 = T₇₇₀₃).

The spelling of 29671920 in words is "twenty-nine million, six hundred seventy-one thousand, nine hundred twenty".