33555940 has 48 divisors (see below), whose sum is σ = 77543424. Its totient is φ = 12096000.

The previous prime is 33555931. The next prime is 33555947. The reversal of 33555940 is 4955533.

It is a happy number.

It is a super-2 number, since 2×33555940² = 2252002218567200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33555896 and 33555905.

It is not an unprimeable number, because it can be changed into a prime (33555947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27340 + ... + 28540.

It is an arithmetic number, because the mean of its divisors is an integer number (1615488).

Almost surely, 2^33555940 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 33555940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38771712).

33555940 is an abundant number, since it is smaller than the sum of its proper divisors (43987484).

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

33555940 is a wasteful number, since it uses less digits than its factorization.

33555940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 34.

The square root of 33555940 is about 5792.7489156703. The cubic root of 33555940 is about 322.5446205512.

The spelling of 33555940 in words is "thirty-three million, five hundred fifty-five thousand, nine hundred forty".