29964192 has 96 divisors (see below), whose sum is σ = 83462400. Its totient is φ = 9397248.

The previous prime is 29964167. The next prime is 29964203. The reversal of 29964192 is 29146992.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130734 + ... + 130962.

It is an arithmetic number, because the mean of its divisors is an integer number (869400).

Almost surely, 2^29964192 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 29964192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41731200).

29964192 is an abundant number, since it is smaller than the sum of its proper divisors (53498208).

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

29964192 is a wasteful number, since it uses less digits than its factorization.

29964192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 310 counting only the distinct ones).

The product of its digits is 69984, while the sum is 42.

The square root of 29964192 is about 5473.9557908335. The cubic root of 29964192 is about 310.5995749519.

The spelling of 29964192 in words is "twenty-nine million, nine hundred sixty-four thousand, one hundred ninety-two".