29201920 has 160 divisors (see below), whose sum is σ = 82200096. Its totient is φ = 9830400.

The previous prime is 29201911. The next prime is 29201929. The reversal of 29201920 is 2910292.

It is an interprime number because it is at equal distance from previous prime (29201911) and next prime (29201929).

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29201929) 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 15 ways as a sum of consecutive naturals, for example, 478690 + ... + 478750.

Almost surely, 2^29201920 is an apocalyptic number.

29201920 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 29201920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41100048).

29201920 is an abundant number, since it is smaller than the sum of its proper divisors (52998176).

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

29201920 is a wasteful number, since it uses less digits than its factorization.

29201920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 29201920 is about 5403.8800874927. The cubic root of 29201920 is about 307.9430940012.

The spelling of 29201920 in words is "twenty-nine million, two hundred one thousand, nine hundred twenty".