32914980 has 144 divisors (see below), whose sum is σ = 115524864. Its totient is φ = 7430400.

The previous prime is 32914951. The next prime is 32914997. The reversal of 32914980 is 8941923.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190174 + ... + 190346.

It is an arithmetic number, because the mean of its divisors is an integer number (802256).

Almost surely, 2^32914980 is an apocalyptic number.

32914980 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 32914980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57762432).

32914980 is an abundant number, since it is smaller than the sum of its proper divisors (82609884).

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

32914980 is a wasteful number, since it uses less digits than its factorization.

32914980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 32914980 is about 5737.1578329344. The cubic root of 32914980 is about 320.4777369391.

The spelling of 32914980 in words is "thirty-two million, nine hundred fourteen thousand, nine hundred eighty".