33798920 has 32 divisors (see below), whose sum is σ = 78672600. Its totient is φ = 13052928.

The previous prime is 33798901. The next prime is 33798923. The reversal of 33798920 is 2989733.

It can be written as a sum of positive squares in 4 ways, for example, as 32467204 + 1331716 = 5698^2 + 1154^2 .

It is a super-2 number, since 2×33798920² = 2284733986332800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33798923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13409 + ... + 15728.

Almost surely, 2^33798920 is an apocalyptic number.

It is an amenable number.

33798920 is an abundant number, since it is smaller than the sum of its proper divisors (44873680).

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

33798920 is a wasteful number, since it uses less digits than its factorization.

33798920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29177 (or 29173 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 41.

The square root of 33798920 is about 5813.6838579338. The cubic root of 33798920 is about 323.3212687838.

The spelling of 33798920 in words is "thirty-three million, seven hundred ninety-eight thousand, nine hundred twenty".