32770980 has 144 divisors (see below), whose sum is σ = 112641984. Its totient is φ = 7931520.

The previous prime is 32770961. The next prime is 32770981. The reversal of 32770980 is 8907723.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32770981) 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, 53154 + ... + 53766.

It is an arithmetic number, because the mean of its divisors is an integer number (782236).

Almost surely, 2^32770980 is an apocalyptic number.

32770980 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 32770980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56320992).

32770980 is an abundant number, since it is smaller than the sum of its proper divisors (79871004).

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

32770980 is a wasteful number, since it uses less digits than its factorization.

32770980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 32770980 is about 5724.5943087698. The cubic root of 32770980 is about 320.0097002268.

The spelling of 32770980 in words is "thirty-two million, seven hundred seventy thousand, nine hundred eighty".