32808240 has 200 divisors, whose sum is σ = 117211248. Its totient is φ = 8501760.

The previous prime is 32808229. The next prime is 32808253. The reversal of 32808240 is 4280823.

It is a super-2 number, since 2×32808240² = 2152761223795200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 395239 + ... + 395321.

Almost surely, 2^32808240 is an apocalyptic number.

32808240 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 32808240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58605624).

32808240 is an abundant number, since it is smaller than the sum of its proper divisors (84403008).

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

32808240 is a wasteful number, since it uses less digits than its factorization.

32808240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 32808240 is about 5727.8477633401. The cubic root of 32808240 is about 320.1309360003.

The spelling of 32808240 in words is "thirty-two million, eight hundred eight thousand, two hundred forty".