29553040 has 120 divisors (see below), whose sum is σ = 78369984. Its totient is φ = 10348800.

The previous prime is 29553023. The next prime is 29553053. The reversal of 29553040 is 4035592.

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 23 ways as a sum of consecutive naturals, for example, 416205 + ... + 416275.

Almost surely, 2^29553040 is an apocalyptic number.

29553040 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 29553040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39184992).

29553040 is an abundant number, since it is smaller than the sum of its proper divisors (48816944).

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

29553040 is a wasteful number, since it uses less digits than its factorization.

29553040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 29553040 is about 5436.2707805995. The cubic root of 29553040 is about 309.1724023350.

It can be divided in two parts, 2955 and 3040, that added together give a palindrome (5995).

The spelling of 29553040 in words is "twenty-nine million, five hundred fifty-three thousand, forty".