23261760 has 168 divisors, whose sum is σ = 82378296. Its totient is φ = 6021120.

The previous prime is 23261759. The next prime is 23261761. The reversal of 23261760 is 6716232.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23261759) and next prime (23261761).

It can be written as a sum of positive squares in 4 ways, for example, as 2903616 + 20358144 = 1704^2 + 4512^2 .

It is a super-2 number, since 2×23261760² = 1082218956595200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23261761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117982 + ... + 118178.

It is an arithmetic number, because the mean of its divisors is an integer number (490347).

Almost surely, 2^23261760 is an apocalyptic number.

23261760 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 23261760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41189148).

23261760 is an abundant number, since it is smaller than the sum of its proper divisors (59116536).

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

23261760 is a wasteful number, since it uses less digits than its factorization.

23261760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 23261760 is about 4823.0446815264. The cubic root of 23261760 is about 285.4614868668.

Adding to 23261760 its reverse (6716232), we get a palindrome (29977992).

The spelling of 23261760 in words is "twenty-three million, two hundred sixty-one thousand, seven hundred sixty".