32890368 has 240 divisors, whose sum is σ = 111957120. Its totient is φ = 8515584.

The previous prime is 32890337. The next prime is 32890433. The reversal of 32890368 is 86309823.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1430005 + ... + 1430027.

It is an arithmetic number, because the mean of its divisors is an integer number (466488).

Almost surely, 2^32890368 is an apocalyptic number.

32890368 is a gapful number since it is divisible by the number (38) 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 32890368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55978560).

32890368 is an abundant number, since it is smaller than the sum of its proper divisors (79066752).

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

32890368 is a wasteful number, since it uses less digits than its factorization.

32890368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 32890368 is about 5735.0124672925. The cubic root of 32890368 is about 320.3978385175.

The spelling of 32890368 in words is "thirty-two million, eight hundred ninety thousand, three hundred sixty-eight".