33552080 has 20 divisors (see below), whose sum is σ = 78008772. Its totient is φ = 13420800.

The previous prime is 33552047. The next prime is 33552089. The reversal of 33552080 is 8025533.

It can be written as a sum of positive squares in 2 ways, for example, as 22316176 + 11235904 = 4724^2 + 3352^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×33552080² = 2251484144652800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33552089) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 209621 + ... + 209780.

Almost surely, 2^33552080 is an apocalyptic number.

It is an amenable number.

33552080 is an abundant number, since it is smaller than the sum of its proper divisors (44456692).

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

33552080 is a wasteful number, since it uses less digits than its factorization.

33552080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419414 (or 419408 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 33552080 is about 5792.4157309364. The cubic root of 33552080 is about 322.5322524481.

The spelling of 33552080 in words is "thirty-three million, five hundred fifty-two thousand, eighty".