30838860 has 192 divisors, whose sum is σ = 108380160. Its totient is φ = 7223040.

The previous prime is 30838859. The next prime is 30838877. The reversal of 30838860 is 6883803.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 161365 + ... + 161555.

It is an arithmetic number, because the mean of its divisors is an integer number (564480).

Almost surely, 2^30838860 is an apocalyptic number.

30838860 is a gapful number since it is divisible by the number (30) 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 30838860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54190080).

30838860 is an abundant number, since it is smaller than the sum of its proper divisors (77541300).

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

30838860 is a wasteful number, since it uses less digits than its factorization.

30838860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 30838860 is about 5553.2747095745. The cubic root of 30838860 is about 313.5928160882.

The spelling of 30838860 in words is "thirty million, eight hundred thirty-eight thousand, eight hundred sixty".