66826080 has 192 divisors, whose sum is σ = 241920000. Its totient is φ = 17210880.

The previous prime is 66826079. The next prime is 66826129. The reversal of 66826080 is 8062866.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 133671 + ... + 134169.

It is an arithmetic number, because the mean of its divisors is an integer number (1260000).

Almost surely, 2^66826080 is an apocalyptic number.

66826080 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 66826080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960000).

66826080 is an abundant number, since it is smaller than the sum of its proper divisors (175093920).

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

66826080 is a wasteful number, since it uses less digits than its factorization.

66826080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 66826080 is about 8174.7220136222. The cubic root of 66826080 is about 405.8030704702.

The spelling of 66826080 in words is "sixty-six million, eight hundred twenty-six thousand, eighty".