30169920 has 112 divisors (see below), whose sum is σ = 104534208. Its totient is φ = 7311360.

The previous prime is 30169907. The next prime is 30169933. The reversal of 30169920 is 2996103.

It is an interprime number because it is at equal distance from previous prime (30169907) and next prime (30169933).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 9132 + ... + 11988.

Almost surely, 2^30169920 is an apocalyptic number.

30169920 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 30169920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52267104).

30169920 is an abundant number, since it is smaller than the sum of its proper divisors (74364288).

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

30169920 is a wasteful number, since it uses less digits than its factorization.

30169920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2888 (or 2878 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 30169920 is about 5492.7151755757. The cubic root of 30169920 is about 311.3087919779.

The spelling of 30169920 in words is "thirty million, one hundred sixty-nine thousand, nine hundred twenty".