32825520 has 320 divisors, whose sum is σ = 139991040. Its totient is φ = 6884352.

The previous prime is 32825491. The next prime is 32825561. The reversal of 32825520 is 2552823.

32825520 is a `hidden beast` number, since 32 + 82 + 552 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 196477 + ... + 196643.

It is an arithmetic number, because the mean of its divisors is an integer number (437472).

Almost surely, 2^32825520 is an apocalyptic number.

32825520 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 32825520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69995520).

32825520 is an abundant number, since it is smaller than the sum of its proper divisors (107165520).

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

32825520 is a wasteful number, since it uses less digits than its factorization.

32825520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 32825520 is about 5729.3559847508. The cubic root of 32825520 is about 320.1871301317.

The spelling of 32825520 in words is "thirty-two million, eight hundred twenty-five thousand, five hundred twenty".