20557152 has 240 divisors, whose sum is σ = 76108032. Its totient is φ = 5287680.

The previous prime is 20557129. The next prime is 20557153. The reversal of 20557152 is 25175502.

It is a happy number.

It is a super-2 number, since 2×20557152² = 845192996702208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20557153) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 199533 + ... + 199635.

Almost surely, 2^20557152 is an apocalyptic number.

20557152 is a gapful number since it is divisible by the number (22) 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 20557152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38054016).

20557152 is an abundant number, since it is smaller than the sum of its proper divisors (55550880).

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

20557152 is a wasteful number, since it uses less digits than its factorization.

20557152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 20557152 is about 4533.9995588884. Note that the first 3 decimals coincide. The cubic root of 20557152 is about 273.9392836145.

The spelling of 20557152 in words is "twenty million, five hundred fifty-seven thousand, one hundred fifty-two".