7406568 has 96 divisors (see below), whose sum is σ = 22244040. Its totient is φ = 2211840.

The previous prime is 7406563. The next prime is 7406569. The reversal of 7406568 is 8656047.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2125764 + 5280804 = 1458^2 + 2298^2 .

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

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (7406563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38280 + ... + 38472.

Almost surely, 2^7406568 is an apocalyptic number.

7406568 is a gapful number since it is divisible by the number (78) 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 7406568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11122020).

7406568 is an abundant number, since it is smaller than the sum of its proper divisors (14837472).

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

7406568 is a wasteful number, since it uses less digits than its factorization.

7406568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 7406568 is about 2721.5010564025. The cubic root of 7406568 is about 194.9271522763.

The spelling of 7406568 in words is "seven million, four hundred six thousand, five hundred sixty-eight".