23793000 has 256 divisors, whose sum is σ = 93450240. Its totient is φ = 4896000.

The previous prime is 23792981. The next prime is 23793019. The reversal of 23793000 is 39732.

It is an interprime number because it is at equal distance from previous prime (23792981) and next prime (23793019).

It is a super-2 number, since 2×23793000² = 1132213698000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 230949 + ... + 231051.

It is an arithmetic number, because the mean of its divisors is an integer number (365040).

Almost surely, 2^23793000 is an apocalyptic number.

23793000 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 23793000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46725120).

23793000 is an abundant number, since it is smaller than the sum of its proper divisors (69657240).

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

23793000 is a wasteful number, since it uses less digits than its factorization.

23793000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 24.

The square root of 23793000 is about 4877.8068842462. The cubic root of 23793000 is about 287.6182248492.

The spelling of 23793000 in words is "twenty-three million, seven hundred ninety-three thousand".