29475120 has 80 divisors (see below), whose sum is σ = 91994112. Its totient is φ = 7806720.

The previous prime is 29475119. The next prime is 29475143. The reversal of 29475120 is 2157492.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45519 + ... + 46161.

Almost surely, 2^29475120 is an apocalyptic number.

29475120 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 29475120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45997056).

29475120 is an abundant number, since it is smaller than the sum of its proper divisors (62518992).

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

29475120 is a wasteful number, since it uses less digits than its factorization.

29475120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 29475120 is about 5429.0993728242. The cubic root of 29475120 is about 308.9004402706.

The spelling of 29475120 in words is "twenty-nine million, four hundred seventy-five thousand, one hundred twenty".