32825408 has 56 divisors (see below), whose sum is σ = 81223104. Its totient is φ = 12787200.

The previous prime is 32825389. The next prime is 32825413. The reversal of 32825408 is 80452823.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1598 + ... + 8258.

Almost surely, 2^32825408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32825408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40611552).

32825408 is an abundant number, since it is smaller than the sum of its proper divisors (48397696).

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

32825408 is a wasteful number, since it uses less digits than its factorization.

32825408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6691 (or 6681 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 32825408 is about 5729.3462105200. The cubic root of 32825408 is about 320.1867659740.

It can be divided in two parts, 32825 and 408, that added together give a palindrome (33233).

The spelling of 32825408 in words is "thirty-two million, eight hundred twenty-five thousand, four hundred eight".