33160890 has 64 divisors (see below), whose sum is σ = 95754240. Its totient is φ = 7179840.

The previous prime is 33160889. The next prime is 33160921. The reversal of 33160890 is 9806133.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166 + ... + 8145.

It is an arithmetic number, because the mean of its divisors is an integer number (1496160).

Almost surely, 2^33160890 is an apocalyptic number.

33160890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33160890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47877120).

33160890 is an abundant number, since it is smaller than the sum of its proper divisors (62593350).

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

33160890 is a wasteful number, since it uses less digits than its factorization.

33160890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8347.

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 33160890 is about 5758.5492964808. The cubic root of 33160890 is about 321.2738610669.

The spelling of 33160890 in words is "thirty-three million, one hundred sixty thousand, eight hundred ninety".