20252960 has 144 divisors (see below), whose sum is σ = 59766336. Its totient is φ = 6349824.

The previous prime is 20252959. The next prime is 20252983. The reversal of 20252960 is 6925202.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189227 + ... + 189333.

It is an arithmetic number, because the mean of its divisors is an integer number (415044).

Almost surely, 2^20252960 is an apocalyptic number.

20252960 is a gapful number since it is divisible by the number (20) 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 20252960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29883168).

20252960 is an abundant number, since it is smaller than the sum of its proper divisors (39513376).

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

20252960 is a wasteful number, since it uses less digits than its factorization.

20252960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 20252960 is about 4500.3288768711. The cubic root of 20252960 is about 272.5813689616.

It can be divided in two parts, 20252 and 960, that added together give a palindrome (21212).

The spelling of 20252960 in words is "twenty million, two hundred fifty-two thousand, nine hundred sixty".