7948160 has 64 divisors (see below), whose sum is σ = 20746800. Its totient is φ = 2887680.

The previous prime is 7948153. The next prime is 7948177. The reversal of 7948160 is 618497.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×7948160³ (a number of 22 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7948160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6476 + ... + 7604.

Almost surely, 2^7948160 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 7948160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10373400).

7948160 is an abundant number, since it is smaller than the sum of its proper divisors (12798640).

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

7948160 is a wasteful number, since it uses less digits than its factorization.

7948160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 7948160 is about 2819.2481267175. The cubic root of 7948160 is about 199.5670635062.

The spelling of 7948160 in words is "seven million, nine hundred forty-eight thousand, one hundred sixty".