33099840 has 140 divisors (see below), whose sum is σ = 117834156. Its totient is φ = 8819712.

The previous prime is 33099823. The next prime is 33099851. The reversal of 33099840 is 4899033.

It can be written as a sum of positive squares in 2 ways, for example, as 16842816 + 16257024 = 4104^2 + 4032^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 33099795 and 33099804.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25282 + ... + 26558.

Almost surely, 2^33099840 is an apocalyptic number.

33099840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33099840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58917078).

33099840 is an abundant number, since it is smaller than the sum of its proper divisors (84734316).

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

33099840 is a wasteful number, since it uses less digits than its factorization.

33099840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 33099840 is about 5753.2460402802. The cubic root of 33099840 is about 321.0765823045.

The spelling of 33099840 in words is "thirty-three million, ninety-nine thousand, eight hundred forty".