29900160 has 192 divisors, whose sum is σ = 107406000. Its totient is φ = 7655424.

The previous prime is 29900137. The next prime is 29900201. The reversal of 29900160 is 6100992.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166951 + ... + 167129.

Almost surely, 2^29900160 is an apocalyptic number.

29900160 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 29900160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53703000).

29900160 is an abundant number, since it is smaller than the sum of its proper divisors (77505840).

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

29900160 is a wasteful number, since it uses less digits than its factorization.

29900160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 29900160 is about 5468.1038761165. The cubic root of 29900160 is about 310.3781718451.

The spelling of 29900160 in words is "twenty-nine million, nine hundred thousand, one hundred sixty".