33253040 has 80 divisors (see below), whose sum is σ = 82494720. Its totient is φ = 12430080.

The previous prime is 33253039. The next prime is 33253067. The reversal of 33253040 is 4035233.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33253040² = 2211529338483200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199037 + ... + 199203.

It is an arithmetic number, because the mean of its divisors is an integer number (1031184).

Almost surely, 2^33253040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33253040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41247360).

33253040 is an abundant number, since it is smaller than the sum of its proper divisors (49241680).

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

33253040 is a wasteful number, since it uses less digits than its factorization.

33253040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 20.

The square root of 33253040 is about 5766.5448927412. The cubic root of 33253040 is about 321.5711792362.

Adding to 33253040 its reverse (4035233), we get a palindrome (37288273).

The spelling of 33253040 in words is "thirty-three million, two hundred fifty-three thousand, forty".