29714120 has 48 divisors (see below), whose sum is σ = 69172380. Its totient is φ = 11487360.

The previous prime is 29714117. The next prime is 29714123. The reversal of 29714120 is 2141792.

It is an interprime number because it is at equal distance from previous prime (29714117) and next prime (29714123).

It can be written as a sum of positive squares in 2 ways, for example, as 26481316 + 3232804 = 5146^2 + 1798^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 29714120.

It is not an unprimeable number, because it can be changed into a prime (29714123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38054 + ... + 38826.

Almost surely, 2^29714120 is an apocalyptic number.

29714120 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 29714120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34586190).

29714120 is an abundant number, since it is smaller than the sum of its proper divisors (39458260).

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

29714120 is a wasteful number, since it uses less digits than its factorization.

29714120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 29714120 is about 5451.0659508027. The cubic root of 29714120 is about 309.7331036132.

The spelling of 29714120 in words is "twenty-nine million, seven hundred fourteen thousand, one hundred twenty".