29697120 has 144 divisors (see below), whose sum is σ = 104019552. Its totient is φ = 7710720.

The previous prime is 29697089. The next prime is 29697137. The reversal of 29697120 is 2179692.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 58789 + ... + 59291.

It is an arithmetic number, because the mean of its divisors is an integer number (722358).

Almost surely, 2^29697120 is an apocalyptic number.

29697120 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 29697120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52009776).

29697120 is an abundant number, since it is smaller than the sum of its proper divisors (74322432).

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

29697120 is a wasteful number, since it uses less digits than its factorization.

29697120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 29697120 is about 5449.5063996659. The cubic root of 29697120 is about 309.6740243243.

The spelling of 29697120 in words is "twenty-nine million, six hundred ninety-seven thousand, one hundred twenty".