7561960 has 64 divisors (see below), whose sum is σ = 19699200. Its totient is φ = 2558976.

The previous prime is 7561921. The next prime is 7561969. The reversal of 7561960 is 691657.

It is not an unprimeable number, because it can be changed into a prime (7561969) 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, 31521 + ... + 31759.

It is an arithmetic number, because the mean of its divisors is an integer number (307800).

Almost surely, 2^7561960 is an apocalyptic number.

7561960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7561960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9849600).

7561960 is an abundant number, since it is smaller than the sum of its proper divisors (12137240).

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

7561960 is a wasteful number, since it uses less digits than its factorization.

7561960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 34.

The square root of 7561960 is about 2749.9018164291. The cubic root of 7561960 is about 196.2809382303.

The spelling of 7561960 in words is "seven million, five hundred sixty-one thousand, nine hundred sixty".