29552120 has 64 divisors (see below), whose sum is σ = 75841920. Its totient is φ = 10266624.

The previous prime is 29552119. The next prime is 29552123. The reversal of 29552120 is 2125592.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 29552120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29552123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7169 + ... + 10511.

It is an arithmetic number, because the mean of its divisors is an integer number (1185030).

Almost surely, 2^29552120 is an apocalyptic number.

29552120 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 29552120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37920960).

29552120 is an abundant number, since it is smaller than the sum of its proper divisors (46289800).

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

29552120 is a wasteful number, since it uses less digits than its factorization.

29552120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3384 (or 3380 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 29552120 is about 5436.1861631110. The cubic root of 29552120 is about 309.1691940744.

The spelling of 29552120 in words is "twenty-nine million, five hundred fifty-two thousand, one hundred twenty".