7405608 has 64 divisors (see below), whose sum is σ = 22412160. Its totient is φ = 1990656.

The previous prime is 7405571. The next prime is 7405613. The reversal of 7405608 is 8065047.

7405608 = 652² + 653² + ... + 668².

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1560 + ... + 4152.

It is an arithmetic number, because the mean of its divisors is an integer number (350190).

Almost surely, 2^7405608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7405608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11206080).

7405608 is an abundant number, since it is smaller than the sum of its proper divisors (15006552).

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

7405608 is a wasteful number, since it uses less digits than its factorization.

7405608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2626 (or 2622 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 7405608 is about 2721.3246774319. The cubic root of 7405608 is about 194.9187301050.

The spelling of 7405608 in words is "seven million, four hundred five thousand, six hundred eight".