29045120 has 64 divisors (see below), whose sum is σ = 74798640. Its totient is φ = 10721280.

The previous prime is 29045119. The next prime is 29045131. The reversal of 29045120 is 2154092.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6575 + ... + 10065.

Almost surely, 2^29045120 is an apocalyptic number.

29045120 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 29045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37399320).

29045120 is an abundant number, since it is smaller than the sum of its proper divisors (45753520).

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

29045120 is a wasteful number, since it uses less digits than its factorization.

29045120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3523 (or 3511 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 29045120 is about 5389.3524657421. The cubic root of 29045120 is about 307.3909367117.

The spelling of 29045120 in words is "twenty-nine million, forty-five thousand, one hundred twenty".