7966440 has 48 divisors (see below), whose sum is σ = 25892100. Its totient is φ = 2124288.

The previous prime is 7966429. The next prime is 7966451. The reversal of 7966440 is 446697.

7966440 is a `hidden beast` number, since 7 + 9 + 6 + 644 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7966429) and next prime (7966451).

It can be written as a sum of positive squares in 2 ways, for example, as 7584516 + 381924 = 2754^2 + 618^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7966395 and 7966404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10705 + ... + 11424.

Almost surely, 2^7966440 is an apocalyptic number.

It is an amenable number.

7966440 is an abundant number, since it is smaller than the sum of its proper divisors (17925660).

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

7966440 is a wasteful number, since it uses less digits than its factorization.

7966440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22146 (or 22139 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 7966440 is about 2822.4882639260. The cubic root of 7966440 is about 199.7199413522.

The spelling of 7966440 in words is "seven million, nine hundred sixty-six thousand, four hundred forty".