7651360 has 96 divisors (see below), whose sum is σ = 20003760. Its totient is φ = 2752512.

The previous prime is 7651339. The next prime is 7651373. The reversal of 7651360 is 631567.

It can be written as a sum of positive squares in 8 ways, for example, as 4309776 + 3341584 = 2076^2 + 1828^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78832 + ... + 78928.

Almost surely, 2^7651360 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 7651360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10001880).

7651360 is an abundant number, since it is smaller than the sum of its proper divisors (12352400).

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

7651360 is a wasteful number, since it uses less digits than its factorization.

7651360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 7651360 is about 2766.1091807808. The cubic root of 7651360 is about 197.0514093629.

It can be divided in two parts, 765 and 1360, that multiplied together give a square (1040400 = 1020²).

The spelling of 7651360 in words is "seven million, six hundred fifty-one thousand, three hundred sixty".