33642020 has 12 divisors (see below), whose sum is σ = 70648284. Its totient is φ = 13456800.

The previous prime is 33641969. The next prime is 33642041. The reversal of 33642020 is 2024633.

It can be written as a sum of positive squares in 2 ways, for example, as 16386304 + 17255716 = 4048^2 + 4154^2 .

It is a super-2 number, since 2×33642020² = 2263571019360800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 1682101 = 33642020 / (3 + 3 + 6 + 4 + 2 + 0 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 33641983 and 33642001.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 841031 + ... + 841070.

It is an arithmetic number, because the mean of its divisors is an integer number (5887357).

Almost surely, 2^33642020 is an apocalyptic number.

It is an amenable number.

33642020 is an abundant number, since it is smaller than the sum of its proper divisors (37006264).

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

33642020 is a wasteful number, since it uses less digits than its factorization.

33642020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682110 (or 1682108 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 33642020 is about 5800.1741353170. The cubic root of 33642020 is about 322.8201895808.

Adding to 33642020 its reverse (2024633), we get a palindrome (35666653).

The spelling of 33642020 in words is "thirty-three million, six hundred forty-two thousand, twenty".