32182020 has 144 divisors (see below), whose sum is σ = 111449520. Its totient is φ = 7446528.

The previous prime is 32182019. The next prime is 32182021. The reversal of 32182020 is 2028123.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (32182019) and next prime (32182021).

It can be written as a sum of positive squares in 8 ways, for example, as 304704 + 31877316 = 552^2 + 5646^2 .

It is a super-2 number, since 2×32182020² = 2071364822560800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 32181984 and 32182002.

It is not an unprimeable number, because it can be changed into a prime (32182021) 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, 39376 + ... + 40184.

It is an arithmetic number, because the mean of its divisors is an integer number (773955).

Almost surely, 2^32182020 is an apocalyptic number.

32182020 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 32182020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55724760).

32182020 is an abundant number, since it is smaller than the sum of its proper divisors (79267500).

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

32182020 is a wasteful number, since it uses less digits than its factorization.

32182020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 32182020 is about 5672.9198830937. The cubic root of 32182020 is about 318.0810283609.

The spelling of 32182020 in words is "thirty-two million, one hundred eighty-two thousand, twenty".