29663920 has 80 divisors (see below), whose sum is σ = 81057312. Its totient is φ = 9953280.

The previous prime is 29663911. The next prime is 29663927. The reversal of 29663920 is 2936692.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 29663920.

It is not an unprimeable number, because it can be changed into a prime (29663927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10144 + ... + 12736.

Almost surely, 2^29663920 is an apocalyptic number.

29663920 is a gapful number since it is divisible by the number (20) 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 29663920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40528656).

29663920 is an abundant number, since it is smaller than the sum of its proper divisors (51393392).

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

29663920 is a wasteful number, since it uses less digits than its factorization.

29663920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2630 (or 2624 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 37.

The square root of 29663920 is about 5446.4594003811. The cubic root of 29663920 is about 309.5585809044.

It can be divided in two parts, 2966 and 3920, that added together give a palindrome (6886).

The spelling of 29663920 in words is "twenty-nine million, six hundred sixty-three thousand, nine hundred twenty".