23528960 has 160 divisors (see below), whose sum is σ = 70120512. Its totient is φ = 7372800.

The previous prime is 23528917. The next prime is 23528963. The reversal of 23528960 is 6982532.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×23528960² = 1107223917363200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 23528960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23528963) 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, 232910 + ... + 233010.

Almost surely, 2^23528960 is an apocalyptic number.

23528960 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 23528960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35060256).

23528960 is an abundant number, since it is smaller than the sum of its proper divisors (46591552).

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

23528960 is a wasteful number, since it uses less digits than its factorization.

23528960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 23528960 is about 4850.6659336631. The cubic root of 23528960 is about 286.5503283711.

The spelling of 23528960 in words is "twenty-three million, five hundred twenty-eight thousand, nine hundred sixty".