33666660 has 72 divisors (see below), whose sum is σ = 104078520. Its totient is φ = 8805888.

The previous prime is 33666649. The next prime is 33666667. The reversal of 33666660 is 6666633.

It can be written as a sum of positive squares in 4 ways, for example, as 1313316 + 32353344 = 1146^2 + 5688^2 .

It is a super-2 number, since 2×33666660² = 2266887991111200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (33666667) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7776 + ... + 11304.

It is an arithmetic number, because the mean of its divisors is an integer number (1445535).

Almost surely, 2^33666660 is an apocalyptic number.

33666660 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 33666660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52039260).

33666660 is an abundant number, since it is smaller than the sum of its proper divisors (70411860).

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

33666660 is a wasteful number, since it uses less digits than its factorization.

33666660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3597 (or 3592 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The square root of 33666660 is about 5802.2978206914. The cubic root of 33666660 is about 322.8989833859.

It can be divided in two parts, 3 and 3666660, that added together give a palindrome (3666663).

The spelling of 33666660 in words is "thirty-three million, six hundred sixty-six thousand, six hundred sixty".