29700216 has 128 divisors (see below), whose sum is σ = 101606400. Its totient is φ = 7827840.

The previous prime is 29700179. The next prime is 29700221. The reversal of 29700216 is 61200792.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 29700216.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18901 + ... + 20411.

It is an arithmetic number, because the mean of its divisors is an integer number (793800).

Almost surely, 2^29700216 is an apocalyptic number.

29700216 is a gapful number since it is divisible by the number (26) 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 29700216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50803200).

29700216 is an abundant number, since it is smaller than the sum of its proper divisors (71906184).

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

29700216 is a wasteful number, since it uses less digits than its factorization.

29700216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 29700216 is about 5449.7904546872. The cubic root of 29700216 is about 309.6847853843.

The spelling of 29700216 in words is "twenty-nine million, seven hundred thousand, two hundred sixteen".