20261760 has 128 divisors (see below), whose sum is σ = 66022560. Its totient is φ = 5283840.

The previous prime is 20261753. The next prime is 20261777. The reversal of 20261760 is 6716202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a self number, because there is not a number n which added to its sum of digits gives 20261760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117034 + ... + 117206.

Almost surely, 2^20261760 is an apocalyptic number.

20261760 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 20261760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33011280).

20261760 is an abundant number, since it is smaller than the sum of its proper divisors (45760800).

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

20261760 is a wasteful number, since it uses less digits than its factorization.

20261760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 20261760 is about 4501.3064770131. The cubic root of 20261760 is about 272.6208425120.

Adding to 20261760 its reverse (6716202), we get a palindrome (26977962).

The spelling of 20261760 in words is "twenty million, two hundred sixty-one thousand, seven hundred sixty".