33986540 has 96 divisors (see below), whose sum is σ = 86704128. Its totient is φ = 10944000.

The previous prime is 33986531. The next prime is 33986567. The reversal of 33986540 is 4568933.

33986540 = 191² + 192² + ... + 477².

33986540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 33986494 and 33986503.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177845 + ... + 178035.

It is an arithmetic number, because the mean of its divisors is an integer number (903168).

Almost surely, 2^33986540 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 33986540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43352064).

33986540 is an abundant number, since it is smaller than the sum of its proper divisors (52717588).

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

33986540 is a wasteful number, since it uses less digits than its factorization.

33986540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The square root of 33986540 is about 5829.7975951143. The cubic root of 33986540 is about 323.9184243137.

The spelling of 33986540 in words is "thirty-three million, nine hundred eighty-six thousand, five hundred forty".