23765000 has 120 divisors (see below), whose sum is σ = 65439990. Its totient is φ = 8064000.

The previous prime is 23764999. The next prime is 23765059. The reversal of 23765000 is 56732.

23765000 = 680² + 681² + ... + 727².

It can be written as a sum of positive squares in 5 ways, for example, as 164836 + 23600164 = 406^2 + 4858^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 244952 + ... + 245048.

Almost surely, 2^23765000 is an apocalyptic number.

23765000 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 23765000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32719995).

23765000 is an abundant number, since it is smaller than the sum of its proper divisors (41674990).

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

23765000 is an equidigital number, since it uses as much as digits as its factorization.

23765000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 23765000 is about 4874.9358970144. The cubic root of 23765000 is about 287.5053559179.

The spelling of 23765000 in words is "twenty-three million, seven hundred sixty-five thousand".