33540320 has 192 divisors, whose sum is σ = 97977600. Its totient is φ = 10690560.

The previous prime is 33540317. The next prime is 33540343. The reversal of 33540320 is 2304533.

It is a super-2 number, since 2×33540320² = 2249906131404800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 33540292 and 33540301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 568451 + ... + 568509.

It is an arithmetic number, because the mean of its divisors is an integer number (510300).

Almost surely, 2^33540320 is an apocalyptic number.

33540320 is the 3344-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33540320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48988800).

33540320 is an abundant number, since it is smaller than the sum of its proper divisors (64437280).

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

33540320 is a wasteful number, since it uses less digits than its factorization.

33540320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 113 counting only the distinct ones).

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

The square root of 33540320 is about 5791.4005214628. The cubic root of 33540320 is about 322.4945655395.

Adding to 33540320 its reverse (2304533), we get a palindrome (35844853).

The spelling of 33540320 in words is "thirty-three million, five hundred forty thousand, three hundred twenty".