23782440 has 128 divisors (see below), whose sum is σ = 79833600. Its totient is φ = 5617920.

The previous prime is 23782417. The next prime is 23782457. The reversal of 23782440 is 4428732.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 23782398 and 23782407.

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 31 ways as a sum of consecutive naturals, for example, 56551 + ... + 56969.

It is an arithmetic number, because the mean of its divisors is an integer number (623700).

Almost surely, 2^23782440 is an apocalyptic number.

23782440 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 23782440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39916800).

23782440 is an abundant number, since it is smaller than the sum of its proper divisors (56051160).

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

23782440 is a wasteful number, since it uses less digits than its factorization.

23782440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 23782440 is about 4876.7243104363. The cubic root of 23782440 is about 287.5756675438.

The spelling of 23782440 in words is "twenty-three million, seven hundred eighty-two thousand, four hundred forty".