23730642 has 72 divisors (see below), whose sum is σ = 57809700. Its totient is φ = 7023744.

The previous prime is 23730631. The next prime is 23730643. The reversal of 23730642 is 24603732.

It can be written as a sum of positive squares in 6 ways, for example, as 488601 + 23242041 = 699^2 + 4821^2 .

It is not an unprimeable number, because it can be changed into a prime (23730643) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 88084 + ... + 88352.

Almost surely, 2^23730642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23730642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28904850).

23730642 is an abundant number, since it is smaller than the sum of its proper divisors (34079058).

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

23730642 is a wasteful number, since it uses less digits than its factorization.

23730642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 23730642 is about 4871.4106786433. The cubic root of 23730642 is about 287.3667364742.

The spelling of 23730642 in words is "twenty-three million, seven hundred thirty thousand, six hundred forty-two".