20287152 has 80 divisors (see below), whose sum is σ = 58805760. Its totient is φ = 6696000.

The previous prime is 20287147. The next prime is 20287159. The reversal of 20287152 is 25178202.

It is a super-2 number, since 2×20287152² = 823137072542208, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (20287159) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65077 + ... + 65387.

It is an arithmetic number, because the mean of its divisors is an integer number (735072).

Almost surely, 2^20287152 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 20287152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29402880).

20287152 is an abundant number, since it is smaller than the sum of its proper divisors (38518608).

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

20287152 is a wasteful number, since it uses less digits than its factorization.

20287152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 20287152 is about 4504.1261083589. The cubic root of 20287152 is about 272.7346776171.

It can be divided in two parts, 2028 and 7152, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 20287152 in words is "twenty million, two hundred eighty-seven thousand, one hundred fifty-two".