32980080 has 160 divisors (see below), whose sum is σ = 118992384. Its totient is φ = 7400448.

The previous prime is 32980049. The next prime is 32980081. The reversal of 32980080 is 8008923.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32980081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112414 + ... + 112706.

Almost surely, 2^32980080 is an apocalyptic number.

32980080 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 32980080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59496192).

32980080 is an abundant number, since it is smaller than the sum of its proper divisors (86012304).

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

32980080 is a wasteful number, since it uses less digits than its factorization.

32980080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 32980080 is about 5742.8285713575. The cubic root of 32980080 is about 320.6888805305.

The spelling of 32980080 in words is "thirty-two million, nine hundred eighty thousand, eighty".