7606368 has 180 divisors, whose sum is σ = 27528228. Its totient is φ = 1975680.

The previous prime is 7606343. The next prime is 7606373. The reversal of 7606368 is 8636067.

It is a happy number.

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 691483 + ... + 691493.

Almost surely, 2^7606368 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 7606368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13764114).

7606368 is an abundant number, since it is smaller than the sum of its proper divisors (19921860).

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

7606368 is a wasteful number, since it uses less digits than its factorization.

7606368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 7606368 is about 2757.9644667762. The cubic root of 7606368 is about 196.6644118609.

The spelling of 7606368 in words is "seven million, six hundred six thousand, three hundred sixty-eight".