7607649 has 16 divisors (see below), whose sum is σ = 11767808. Its totient is φ = 4281552.

The previous prime is 7607629. The next prime is 7607669. The reversal of 7607649 is 9467067.

It is an interprime number because it is at equal distance from previous prime (7607629) and next prime (7607669).

It is not a de Polignac number, because 7607649 - 2⁷ = 7607521 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

7607649 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (7607629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1297 + ... + 4110.

It is an arithmetic number, because the mean of its divisors is an integer number (735488).

Almost surely, 2^7607649 is an apocalyptic number.

It is an amenable number.

7607649 is a deficient number, since it is larger than the sum of its proper divisors (4160159).

7607649 is a wasteful number, since it uses less digits than its factorization.

7607649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5484.

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 7607649 is about 2758.1966934938. The cubic root of 7607649 is about 196.6754514254.

It can be divided in two parts, 7607 and 649, that added together give a triangular number (8256 = T₁₂₈).

The spelling of 7607649 in words is "seven million, six hundred seven thousand, six hundred forty-nine".