30553920 has 126 divisors (see below), whose sum is σ = 106122978. Its totient is φ = 8068608.

The previous prime is 30553889. The next prime is 30553921. The reversal of 30553920 is 2935503.

It can be written as a sum of positive squares in only one way, i.e., 24443136 + 6110784 = 4944^2 + 2472^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30553921) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 296589 + ... + 296691.

Almost surely, 2^30553920 is an apocalyptic number.

30553920 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 30553920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53061489).

30553920 is an abundant number, since it is smaller than the sum of its proper divisors (75569058).

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

30553920 is a wasteful number, since it uses less digits than its factorization.

30553920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 30553920 is about 5527.5600403795. The cubic root of 30553920 is about 312.6239977254.

The spelling of 30553920 in words is "thirty million, five hundred fifty-three thousand, nine hundred twenty".