65828070 has 288 divisors, whose sum is σ = 230480640. Its totient is φ = 12862080.

The previous prime is 65828053. The next prime is 65828099. The reversal of 65828070 is 7082856.

65828070 is a `hidden beast` number, since 6 + 582 + 8 + 0 + 70 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1115701 + ... + 1115759.

It is an arithmetic number, because the mean of its divisors is an integer number (800280).

Almost surely, 2^65828070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65828070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115240320).

65828070 is an abundant number, since it is smaller than the sum of its proper divisors (164652570).

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

65828070 is a wasteful number, since it uses less digits than its factorization.

65828070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 65828070 is about 8113.4499443825. The cubic root of 65828070 is about 403.7727825681.

The spelling of 65828070 in words is "sixty-five million, eight hundred twenty-eight thousand, seventy".