29850120 has 192 divisors, whose sum is σ = 104569920. Its totient is φ = 7651584.

The previous prime is 29850109. The next prime is 29850131. The reversal of 29850120 is 2105892.

It is an interprime number because it is at equal distance from previous prime (29850109) and next prime (29850131).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 359599 + ... + 359681.

It is an arithmetic number, because the mean of its divisors is an integer number (544635).

Almost surely, 2^29850120 is an apocalyptic number.

29850120 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 29850120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52284960).

29850120 is an abundant number, since it is smaller than the sum of its proper divisors (74719800).

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

29850120 is a wasteful number, since it uses less digits than its factorization.

29850120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 29850120 is about 5463.5263337885. The cubic root of 29850120 is about 310.2049286692.

The spelling of 29850120 in words is "twenty-nine million, eight hundred fifty thousand, one hundred twenty".