23782668 has 96 divisors (see below), whose sum is σ = 70748160. Its totient is φ = 6048000.

The previous prime is 23782631. The next prime is 23782691. The reversal of 23782668 is 86628732.

23782668 = T₆₇₇ + T₆₇₈ + ... + T₇₆₇.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31293 + ... + 32043.

It is an arithmetic number, because the mean of its divisors is an integer number (736960).

Almost surely, 2^23782668 is an apocalyptic number.

23782668 is a gapful number since it is divisible by the number (28) 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 23782668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35374080).

23782668 is an abundant number, since it is smaller than the sum of its proper divisors (46965492).

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

23782668 is a wasteful number, since it uses less digits than its factorization.

23782668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 805 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 23782668 is about 4876.7476867273. The cubic root of 23782668 is about 287.5765865278.

The spelling of 23782668 in words is "twenty-three million, seven hundred eighty-two thousand, six hundred sixty-eight".