23677920 has 336 divisors, whose sum is σ = 99156960. Its totient is φ = 5225472.

The previous prime is 23677919. The next prime is 23677921. The reversal of 23677920 is 2977632.

It is an interprime number because it is at equal distance from previous prime (23677919) and next prime (23677921).

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23677921) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 816466 + ... + 816494.

It is an arithmetic number, because the mean of its divisors is an integer number (295110).

Almost surely, 2^23677920 is an apocalyptic number.

23677920 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 23677920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49578480).

23677920 is an abundant number, since it is smaller than the sum of its proper divisors (75479040).

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

23677920 is an equidigital number, since it uses as much as digits as its factorization.

23677920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 23677920 is about 4865.9963008617. The cubic root of 23677920 is about 287.1537659351.

Adding to 23677920 its sum of digits (36), we get a square (23677956 = 4866²).

The spelling of 23677920 in words is "twenty-three million, six hundred seventy-seven thousand, nine hundred twenty".