29940066 has 48 divisors (see below), whose sum is σ = 72910656. Its totient is φ = 8810208.

The previous prime is 29940049. The next prime is 29940073. The reversal of 29940066 is 66004992.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 29940066.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2601 + ... + 8163.

It is an arithmetic number, because the mean of its divisors is an integer number (1518972).

Almost surely, 2^29940066 is an apocalyptic number.

29940066 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 29940066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36455328).

29940066 is an abundant number, since it is smaller than the sum of its proper divisors (42970590).

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

29940066 is a wasteful number, since it uses less digits than its factorization.

29940066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5607 (or 5604 counting only the distinct ones).

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

The square root of 29940066 is about 5471.7516391006. The cubic root of 29940066 is about 310.5161916767.

The spelling of 29940066 in words is "twenty-nine million, nine hundred forty thousand, sixty-six".