29940966 has 72 divisors (see below), whose sum is σ = 72825480. Its totient is φ = 8880960.

The previous prime is 29940949. The next prime is 29940983. The reversal of 29940966 is 66904992.

It is an interprime number because it is at equal distance from previous prime (29940949) and next prime (29940983).

It is a super-2 number, since 2×29940966² = 1792922890026312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 128386 + ... + 128618.

It is an arithmetic number, because the mean of its divisors is an integer number (1011465).

Almost surely, 2^29940966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29940966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36412740).

29940966 is an abundant number, since it is smaller than the sum of its proper divisors (42884514).

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

29940966 is a wasteful number, since it uses less digits than its factorization.

29940966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 29940966 is about 5471.8338790574. The cubic root of 29940966 is about 310.5193030233.

The spelling of 29940966 in words is "twenty-nine million, nine hundred forty thousand, nine hundred sixty-six".