29198970 has 72 divisors (see below), whose sum is σ = 78217308. Its totient is φ = 7557120.

The previous prime is 29198959. The next prime is 29198971. The reversal of 29198970 is 7989192.

It can be written as a sum of positive squares in 6 ways, for example, as 6561 + 29192409 = 81^2 + 5403^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (29198971) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 151194 + ... + 151386.

Almost surely, 2^29198970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29198970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39108654).

29198970 is an abundant number, since it is smaller than the sum of its proper divisors (49018338).

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

29198970 is a wasteful number, since it uses less digits than its factorization.

29198970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 29198970 is about 5403.6071285762. The cubic root of 29198970 is about 307.9327241041.

The spelling of 29198970 in words is "twenty-nine million, one hundred ninety-eight thousand, nine hundred seventy".