32980816 has 80 divisors (see below), whose sum is σ = 75316608. Its totient is φ = 13824000.

The previous prime is 32980813. The next prime is 32980837. The reversal of 32980816 is 61808923.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32980811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218341 + ... + 218491.

Almost surely, 2^32980816 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 32980816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37658304).

32980816 is an abundant number, since it is smaller than the sum of its proper divisors (42335792).

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

32980816 is a wasteful number, since it uses less digits than its factorization.

32980816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 32980816 is about 5742.8926509208. The cubic root of 32980816 is about 320.6912660640.

The spelling of 32980816 in words is "thirty-two million, nine hundred eighty thousand, eight hundred sixteen".