66407120 has 40 divisors (see below), whose sum is σ = 166275816. Its totient is φ = 24519168.

The previous prime is 66407069. The next prime is 66407189. The reversal of 66407120 is 2170466.

It can be written as a sum of positive squares in 4 ways, for example, as 1507984 + 64899136 = 1228^2 + 8056^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 66407120.

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, 30887 + ... + 32966.

Almost surely, 2^66407120 is an apocalyptic number.

It is an amenable number.

66407120 is an abundant number, since it is smaller than the sum of its proper divisors (99868696).

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

66407120 is a wasteful number, since it uses less digits than its factorization.

66407120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63879 (or 63873 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 66407120 is about 8149.0563870917. The cubic root of 66407120 is about 404.9532435989.

Adding to 66407120 its reverse (2170466), we get a palindrome (68577586).

The spelling of 66407120 in words is "sixty-six million, four hundred seven thousand, one hundred twenty".