7066920 has 128 divisors (see below), whose sum is σ = 24883200. Its totient is φ = 1572096.

The previous prime is 7066909. The next prime is 7066931. The reversal of 7066920 is 296607.

7066920 is a nontrivial binomial coefficient, being equal to C(3760, 2).

It is an interprime number because it is at equal distance from previous prime (7066909) and next prime (7066931).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39391 + ... + 39569.

It is an arithmetic number, because the mean of its divisors is an integer number (194400).

Almost surely, 2^7066920 is an apocalyptic number.

7066920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

7066920 is the 3759-th triangular number and also the 1880-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7066920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12441600).

7066920 is an abundant number, since it is smaller than the sum of its proper divisors (17816280).

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

7066920 is a wasteful number, since it uses less digits than its factorization.

7066920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 7066920 is about 2658.3679203602. The cubic root of 7066920 is about 191.9007733808.

It can be divided in two parts, 706 and 6920, that added together give a triangular number (7626 = T₁₂₃).

The spelling of 7066920 in words is "seven million, sixty-six thousand, nine hundred twenty".