32980920 has 192 divisors, whose sum is σ = 118195200. Its totient is φ = 7338240.

The previous prime is 32980897. The next prime is 32980921. The reversal of 32980920 is 2908923.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32980921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 417441 + ... + 417519.

It is an arithmetic number, because the mean of its divisors is an integer number (615600).

Almost surely, 2^32980920 is an apocalyptic number.

32980920 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 32980920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59097600).

32980920 is an abundant number, since it is smaller than the sum of its proper divisors (85214280).

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

32980920 is a wasteful number, since it uses less digits than its factorization.

32980920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 32980920 is about 5742.9017055840. The cubic root of 32980920 is about 320.6916031474.

The spelling of 32980920 in words is "thirty-two million, nine hundred eighty thousand, nine hundred twenty".