23561760 has 96 divisors (see below), whose sum is σ = 74898432. Its totient is φ = 6225920.

The previous prime is 23561753. The next prime is 23561761. The reversal of 23561760 is 6716532.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23561761) 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, 91552 + ... + 91808.

It is an arithmetic number, because the mean of its divisors is an integer number (780192).

Almost surely, 2^23561760 is an apocalyptic number.

23561760 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 23561760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37449216).

23561760 is an abundant number, since it is smaller than the sum of its proper divisors (51336672).

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

23561760 is a wasteful number, since it uses less digits than its factorization.

23561760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 23561760 is about 4854.0457352604. The cubic root of 23561760 is about 286.6834194885.

The spelling of 23561760 in words is "twenty-three million, five hundred sixty-one thousand, seven hundred sixty".