29652966 has 80 divisors (see below), whose sum is σ = 77130240. Its totient is φ = 8339760.

The previous prime is 29652949. The next prime is 29652971. The reversal of 29652966 is 66925692.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 89421 + ... + 89751.

It is an arithmetic number, because the mean of its divisors is an integer number (964128).

Almost surely, 2^29652966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29652966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38565120).

29652966 is an abundant number, since it is smaller than the sum of its proper divisors (47477274).

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

29652966 is a wasteful number, since it uses less digits than its factorization.

29652966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 422 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 29652966 is about 5445.4537001062. The cubic root of 29652966 is about 309.5204726328.

The spelling of 29652966 in words is "twenty-nine million, six hundred fifty-two thousand, nine hundred sixty-six".