7611640 has 48 divisors (see below), whose sum is σ = 17728200. Its totient is φ = 2941056.

The previous prime is 7611613. The next prime is 7611661. The reversal of 7611640 is 461167.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 54691 + ... + 54829.

Almost surely, 2^7611640 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 7611640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8864100).

7611640 is an abundant number, since it is smaller than the sum of its proper divisors (10116560).

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

7611640 is a wasteful number, since it uses less digits than its factorization.

7611640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 7611640 is about 2758.9200785815. The cubic root of 7611640 is about 196.7098376292.

It can be divided in two parts, 761 and 1640, that added together give a 4-th power (2401 = 7⁴).

The spelling of 7611640 in words is "seven million, six hundred eleven thousand, six hundred forty".