7966120 has 16 divisors (see below), whose sum is σ = 17923860. Its totient is φ = 3186432.

The previous prime is 7966117. The next prime is 7966141. The reversal of 7966120 is 216697.

7966120 = 49² + 50² + ... + 288².

It can be written as a sum of positive squares in 2 ways, for example, as 7918596 + 47524 = 2814^2 + 218^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 99537 + ... + 99616.

Almost surely, 2^7966120 is an apocalyptic number.

It is an amenable number.

7966120 is an abundant number, since it is smaller than the sum of its proper divisors (9957740).

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

7966120 is a wasteful number, since it uses less digits than its factorization.

7966120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199164 (or 199160 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 7966120 is about 2822.4315757871. The cubic root of 7966120 is about 199.7172671657.

The spelling of 7966120 in words is "seven million, nine hundred sixty-six thousand, one hundred twenty".