23675760 has 160 divisors (see below), whose sum is σ = 83119680. Its totient is φ = 6193152.

The previous prime is 23675753. The next prime is 23675807. The reversal of 23675760 is 6757632.

It is a happy number.

23675760 is a `hidden beast` number, since 23 + 67 + 576 + 0 = 666.

It is a super-2 number, since 2×23675760² = 1121083223155200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209464 + ... + 209576.

It is an arithmetic number, because the mean of its divisors is an integer number (519498).

Almost surely, 2^23675760 is an apocalyptic number.

23675760 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 23675760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41559840).

23675760 is an abundant number, since it is smaller than the sum of its proper divisors (59443920).

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

23675760 is a wasteful number, since it uses less digits than its factorization.

23675760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 23675760 is about 4865.7743474189. The cubic root of 23675760 is about 287.1450338759.

The spelling of 23675760 in words is "twenty-three million, six hundred seventy-five thousand, seven hundred sixty".