30552000 has 224 divisors, whose sum is σ = 107777280. Its totient is φ = 7603200.

The previous prime is 30551947. The next prime is 30552001. The reversal of 30552000 is 25503.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30552001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 455967 + ... + 456033.

Almost surely, 2^30552000 is an apocalyptic number.

30552000 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 30552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53888640).

30552000 is an abundant number, since it is smaller than the sum of its proper divisors (77225280).

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

30552000 is a wasteful number, since it uses less digits than its factorization.

30552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 15.

The square root of 30552000 is about 5527.3863624683. The cubic root of 30552000 is about 312.6174491860.

Adding to 30552000 its reverse (25503), we get a palindrome (30577503).

The spelling of 30552000 in words is "thirty million, five hundred fifty-two thousand".