32538816 has 84 divisors (see below), whose sum is σ = 98782632. Its totient is φ = 10205184.

The previous prime is 32538791. The next prime is 32538823. The reversal of 32538816 is 61883523.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8131 + ... + 11453.

Almost surely, 2^32538816 is an apocalyptic number.

32538816 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 32538816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49391316).

32538816 is an abundant number, since it is smaller than the sum of its proper divisors (66243816).

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

32538816 is a wasteful number, since it uses less digits than its factorization.

32538816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3358 (or 3345 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 32538816 is about 5704.2804980120. The cubic root of 32538816 is about 319.2522122366.

The spelling of 32538816 in words is "thirty-two million, five hundred thirty-eight thousand, eight hundred sixteen".