65828700 has 288 divisors, whose sum is σ = 250539520. Its totient is φ = 14696640.

The previous prime is 65828689. The next prime is 65828701. The reversal of 65828700 is 782856.

65828700 is a `hidden beast` number, since 6 + 582 + 8 + 70 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65828701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1530879 + ... + 1530921.

Almost surely, 2^65828700 is an apocalyptic number.

65828700 is a gapful number since it is divisible by the number (60) 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 65828700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125269760).

65828700 is an abundant number, since it is smaller than the sum of its proper divisors (184710820).

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

65828700 is a wasteful number, since it uses less digits than its factorization.

65828700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 60 counting only the distinct ones).

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

The square root of 65828700 is about 8113.4887687110. The cubic root of 65828700 is about 403.7740706510.

The spelling of 65828700 in words is "sixty-five million, eight hundred twenty-eight thousand, seven hundred".