23868000 has 384 divisors, whose sum is σ = 99066240. Its totient is φ = 5529600.

The previous prime is 23867993. The next prime is 23868011. The reversal of 23868000 is 86832.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1403992 + ... + 1404008.

It is an arithmetic number, because the mean of its divisors is an integer number (257985).

Almost surely, 2^23868000 is an apocalyptic number.

23868000 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 23868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49533120).

23868000 is an abundant number, since it is smaller than the sum of its proper divisors (75198240).

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

23868000 is a wasteful number, since it uses less digits than its factorization.

23868000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 23868000 is about 4885.4887165973. The cubic root of 23868000 is about 287.9201167335.

The spelling of 23868000 in words is "twenty-three million, eight hundred sixty-eight thousand".