23768640 has 280 divisors, whose sum is σ = 97365312. Its totient is φ = 5391360.

The previous prime is 23768617. The next prime is 23768653. The reversal of 23768640 is 4686732.

23768640 is a `hidden beast` number, since 2 + 3 + 7 + 6 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (280).

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

It is a junction number, because it is equal to n+sod(n) for n = 23768595 and 23768604.

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 39 ways as a sum of consecutive naturals, for example, 181375 + ... + 181505.

Almost surely, 2^23768640 is an apocalyptic number.

23768640 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 23768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48682656).

23768640 is an abundant number, since it is smaller than the sum of its proper divisors (73596672).

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

23768640 is a wasteful number, since it uses less digits than its factorization.

23768640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 23768640 is about 4875.3092209623. The cubic root of 23768640 is about 287.5200338906.

The spelling of 23768640 in words is "twenty-three million, seven hundred sixty-eight thousand, six hundred forty".