29445120 has 220 divisors, whose sum is σ = 107000784. Its totient is φ = 7741440.

The previous prime is 29445113. The next prime is 29445131. The reversal of 29445120 is 2154492.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 414685 + ... + 414755.

Almost surely, 2^29445120 is an apocalyptic number.

29445120 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 29445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53500392).

29445120 is an abundant number, since it is smaller than the sum of its proper divisors (77555664).

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

29445120 is an equidigital number, since it uses as much as digits as its factorization.

29445120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 29445120 is about 5426.3357802480. The cubic root of 29445120 is about 308.7956042937.

The spelling of 29445120 in words is "twenty-nine million, four hundred forty-five thousand, one hundred twenty".