29982420 has 96 divisors (see below), whose sum is σ = 100477440. Its totient is φ = 7378560.

The previous prime is 29982367. The next prime is 29982431. The reversal of 29982420 is 2428992.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 31 ways as a sum of consecutive naturals, for example, 4885 + ... + 9155.

It is an arithmetic number, because the mean of its divisors is an integer number (1046640).

Almost surely, 2^29982420 is an apocalyptic number.

29982420 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 29982420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50238720).

29982420 is an abundant number, since it is smaller than the sum of its proper divisors (70495020).

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

29982420 is a wasteful number, since it uses less digits than its factorization.

29982420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4302 (or 4294 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 29982420 is about 5475.6205127821. The cubic root of 29982420 is about 310.6625441276.

The spelling of 29982420 in words is "twenty-nine million, nine hundred eighty-two thousand, four hundred twenty".