29863968 has 96 divisors (see below), whose sum is σ = 86002560. Its totient is φ = 9031680.

The previous prime is 29863961. The next prime is 29863969. The reversal of 29863968 is 86936892.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 29863968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29863961) 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, 47013 + ... + 47643.

It is an arithmetic number, because the mean of its divisors is an integer number (895860).

Almost surely, 2^29863968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29863968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43001280).

29863968 is an abundant number, since it is smaller than the sum of its proper divisors (56138592).

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

29863968 is a wasteful number, since it uses less digits than its factorization.

29863968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 682 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 51.

The square root of 29863968 is about 5464.7935002157. The cubic root of 29863968 is about 310.2528911089.

The spelling of 29863968 in words is "twenty-nine million, eight hundred sixty-three thousand, nine hundred sixty-eight".