23675120 has 80 divisors (see below), whose sum is σ = 63948288. Its totient is φ = 7983360.

The previous prime is 23675111. The next prime is 23675123. The reversal of 23675120 is 2157632.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×23675120² = 1121022614028800, which contains 22 as substring.

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 23675120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23675123) 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, 37205 + ... + 37835.

Almost surely, 2^23675120 is an apocalyptic number.

23675120 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 23675120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31974144).

23675120 is an abundant number, since it is smaller than the sum of its proper divisors (40273168).

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

23675120 is a wasteful number, since it uses less digits than its factorization.

23675120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 23675120 is about 4865.7085814915. The cubic root of 23675120 is about 287.1424464971.

The spelling of 23675120 in words is "twenty-three million, six hundred seventy-five thousand, one hundred twenty".