4157568 has 80 divisors (see below), whose sum is σ = 12403710. Its totient is φ = 1382400.

The previous prime is 4157563. The next prime is 4157591. The reversal of 4157568 is 8657514.

4157568 is a `hidden beast` number, since 41 + 57 + 568 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2286144 + 1871424 = 1512^2 + 1368^2 .

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4157563) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10168 + ... + 10568.

Almost surely, 2^4157568 is an apocalyptic number.

4157568 is a gapful number since it is divisible by the number (48) 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 4157568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6201855).

4157568 is an abundant number, since it is smaller than the sum of its proper divisors (8246142).

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

4157568 is an equidigital number, since it uses as much as digits as its factorization.

4157568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 406 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 4157568 is about 2039.0115252249. The cubic root of 4157568 is about 160.7976831923.

The spelling of 4157568 in words is "four million, one hundred fifty-seven thousand, five hundred sixty-eight".