32058240 has 128 divisors (see below), whose sum is σ = 104284800. Its totient is φ = 8374272.

The previous prime is 32058239. The next prime is 32058283. The reversal of 32058240 is 4285023.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a self number, because there is not a number n which added to its sum of digits gives 32058240.

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 15 ways as a sum of consecutive naturals, for example, 113139 + ... + 113421.

It is an arithmetic number, because the mean of its divisors is an integer number (814725).

Almost surely, 2^32058240 is an apocalyptic number.

32058240 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 32058240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52142400).

32058240 is an abundant number, since it is smaller than the sum of its proper divisors (72226560).

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

32058240 is a wasteful number, since it uses less digits than its factorization.

32058240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 32058240 is about 5661.9996467679. Note that the first 3 decimals coincide. The cubic root of 32058240 is about 317.6726983258.

The spelling of 32058240 in words is "thirty-two million, fifty-eight thousand, two hundred forty".