7950560 has 96 divisors (see below), whose sum is σ = 20684160. Its totient is φ = 2875392.

The previous prime is 7950559. The next prime is 7950563. The reversal of 7950560 is 650597.

It is a super-2 number, since 2×7950560² = 126422808627200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7950563) 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, 100601 + ... + 100679.

It is an arithmetic number, because the mean of its divisors is an integer number (215460).

Almost surely, 2^7950560 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 7950560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10342080).

7950560 is an abundant number, since it is smaller than the sum of its proper divisors (12733600).

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

7950560 is a wasteful number, since it uses less digits than its factorization.

7950560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 32.

The square root of 7950560 is about 2819.6737399919. The cubic root of 7950560 is about 199.5871483540.

The spelling of 7950560 in words is "seven million, nine hundred fifty thousand, five hundred sixty".