20617152 has 56 divisors (see below), whose sum is σ = 54961536. Its totient is φ = 6820608.

The previous prime is 20617151. The next prime is 20617213. The reversal of 20617152 is 25171602.

It is a super-2 number, since 2×20617152² = 850133913182208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20617151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31743 + ... + 32385.

It is an arithmetic number, because the mean of its divisors is an integer number (981456).

Almost surely, 2^20617152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20617152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27480768).

20617152 is an abundant number, since it is smaller than the sum of its proper divisors (34344384).

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

20617152 is a wasteful number, since it uses less digits than its factorization.

20617152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 20617152 is about 4540.6114125743. The cubic root of 20617152 is about 274.2055395629.

Adding to 20617152 its reverse (25171602), we get a palindrome (45788754).

The spelling of 20617152 in words is "twenty million, six hundred seventeen thousand, one hundred fifty-two".