7064820 has 180 divisors, whose sum is σ = 26070660. Its totient is φ = 1596672.

The previous prime is 7064819. The next prime is 7064831. The reversal of 7064820 is 284607.

7064820 = T₁₀₇ + T₁₀₈ + ... + T₃₅₁.

It can be written as a sum of positive squares in 2 ways, for example, as 1920996 + 5143824 = 1386^2 + 2268^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 79336 + ... + 79424.

It is an arithmetic number, because the mean of its divisors is an integer number (144837).

Almost surely, 2^7064820 is an apocalyptic number.

7064820 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7064820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13035330).

7064820 is an abundant number, since it is smaller than the sum of its proper divisors (19005840).

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

7064820 is a wasteful number, since it uses less digits than its factorization.

7064820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 7064820 is about 2657.9729118259. The cubic root of 7064820 is about 191.8817631402.

The spelling of 7064820 in words is "seven million, sixty-four thousand, eight hundred twenty".