32538240 has 256 divisors, whose sum is σ = 132192000. Its totient is φ = 7409664.

The previous prime is 32538211. The next prime is 32538257. The reversal of 32538240 is 4283523.

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

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120826 + ... + 121094.

It is an arithmetic number, because the mean of its divisors is an integer number (516375).

Almost surely, 2^32538240 is an apocalyptic number.

32538240 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 32538240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66096000).

32538240 is an abundant number, since it is smaller than the sum of its proper divisors (99653760).

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

32538240 is a wasteful number, since it uses less digits than its factorization.

32538240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 32538240 is about 5704.2300093878. The cubic root of 32538240 is about 319.2503284315.

The spelling of 32538240 in words is "thirty-two million, five hundred thirty-eight thousand, two hundred forty".