32255520 has 192 divisors, whose sum is σ = 114307200. Its totient is φ = 7577600.

The previous prime is 32255501. The next prime is 32255537. The reversal of 32255520 is 2555223.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 216406 + ... + 216554.

It is an arithmetic number, because the mean of its divisors is an integer number (595350).

Almost surely, 2^32255520 is an apocalyptic number.

32255520 is a gapful number since it is divisible by the number (30) 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 32255520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57153600).

32255520 is an abundant number, since it is smaller than the sum of its proper divisors (82051680).

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

32255520 is a wasteful number, since it uses less digits than its factorization.

32255520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 32255520 is about 5679.3943339057. The cubic root of 32255520 is about 318.3229976329.

32255520 divided by its sum of digits (24) gives a triangular number (1343980 = T₁₆₃₉).

It can be divided in two parts, 32 and 255520, that added together give a palindrome (255552).

The spelling of 32255520 in words is "thirty-two million, two hundred fifty-five thousand, five hundred twenty".