32506416 has 90 divisors (see below), whose sum is σ = 96647460. Its totient is φ = 10171008.

The previous prime is 32506403. The next prime is 32506417. The reversal of 32506416 is 61460523.

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 32506416.

It is not an unprimeable number, because it can be changed into a prime (32506417) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 298170 + ... + 298278.

Almost surely, 2^32506416 is an apocalyptic number.

32506416 is a gapful number since it is divisible by the number (36) 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 32506416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48323730).

32506416 is an abundant number, since it is smaller than the sum of its proper divisors (64141044).

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

32506416 is a wasteful number, since it uses less digits than its factorization.

32506416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 32506416 is about 5701.4398181512. The cubic root of 32506416 is about 319.1462136369.

Adding to 32506416 its reverse (61460523), we get a palindrome (93966939).

The spelling of 32506416 in words is "thirty-two million, five hundred six thousand, four hundred sixteen".