7607664 has 60 divisors (see below), whose sum is σ = 22226256. Its totient is φ = 2424576.

The previous prime is 7607629. The next prime is 7607669. The reversal of 7607664 is 4667067.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7607669) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2164 + ... + 4460.

Almost surely, 2^7607664 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 7607664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11113128).

7607664 is an abundant number, since it is smaller than the sum of its proper divisors (14618592).

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

7607664 is a wasteful number, since it uses less digits than its factorization.

7607664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2334 (or 2325 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 7607664 is about 2758.1994126604. The cubic root of 7607664 is about 196.6755806870.

The spelling of 7607664 in words is "seven million, six hundred seven thousand, six hundred sixty-four".