32966820 has 72 divisors (see below), whose sum is σ = 104360256. Its totient is φ = 8407872.

The previous prime is 32966809. The next prime is 32966821. The reversal of 32966820 is 2866923.

It is a super-2 number, since 2×32966820² = 2173622441824800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (32966821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159 + ... + 8121.

It is an arithmetic number, because the mean of its divisors is an integer number (1449448).

Almost surely, 2^32966820 is an apocalyptic number.

32966820 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 32966820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52180128).

32966820 is an abundant number, since it is smaller than the sum of its proper divisors (71393436).

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

32966820 is a wasteful number, since it uses less digits than its factorization.

32966820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8001 (or 7996 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 32966820 is about 5741.6739719354. The cubic root of 32966820 is about 320.6458959513.

The spelling of 32966820 in words is "thirty-two million, nine hundred sixty-six thousand, eight hundred twenty".