7607657 has 8 divisors (see below), whose sum is σ = 8284800. Its totient is φ = 6958224.

The previous prime is 7607629. The next prime is 7607669. The reversal of 7607657 is 7567067.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 7607657 - 2¹⁶ = 7542121 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 7607657.

It is not an unprimeable number, because it can be changed into a prime (7607627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6353 + ... + 7454.

It is an arithmetic number, because the mean of its divisors is an integer number (1035600).

Almost surely, 2^7607657 is an apocalyptic number.

It is an amenable number.

7607657 is a deficient number, since it is larger than the sum of its proper divisors (677143).

7607657 is a wasteful number, since it uses less digits than its factorization.

7607657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13855.

The product of its (nonzero) digits is 61740, while the sum is 38.

The square root of 7607657 is about 2758.1981437163. The cubic root of 7607657 is about 196.6755203649.

The spelling of 7607657 in words is "seven million, six hundred seven thousand, six hundred fifty-seven".