7649640 has 96 divisors (see below), whose sum is σ = 25814880. Its totient is φ = 2037312.

The previous prime is 7649617. The next prime is 7649641. The reversal of 7649640 is 469467.

7649640 is a `hidden beast` number, since 7 + 6 + 4 + 9 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 7649595 and 7649604.

It is not an unprimeable number, because it can be changed into a prime (7649641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9327 + ... + 10113.

It is an arithmetic number, because the mean of its divisors is an integer number (268905).

Almost surely, 2^7649640 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 7649640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12907440).

7649640 is an abundant number, since it is smaller than the sum of its proper divisors (18165240).

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

7649640 is a wasteful number, since it uses less digits than its factorization.

7649640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 797 counting only the distinct ones).

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

The square root of 7649640 is about 2765.7982572849. The cubic root of 7649640 is about 197.0366427583.

It can be divided in two parts, 764 and 9640, that added together give a square (10404 = 102²).

The spelling of 7649640 in words is "seven million, six hundred forty-nine thousand, six hundred forty".