66862080 has 132 divisors (see below), whose sum is σ = 231835032. Its totient is φ = 17817600.

The previous prime is 66862079. The next prime is 66862091. The reversal of 66862080 is 8026866.

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

It is a zygodrome in base 2 and base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45355 + ... + 46805.

It is an arithmetic number, because the mean of its divisors is an integer number (1756326).

Almost surely, 2^66862080 is an apocalyptic number.

66862080 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 66862080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115917516).

66862080 is an abundant number, since it is smaller than the sum of its proper divisors (164972952).

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

66862080 is a wasteful number, since it uses less digits than its factorization.

66862080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482 (or 1461 counting only the distinct ones).

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

The square root of 66862080 is about 8176.9236268905. The cubic root of 66862080 is about 405.8759276940.

The spelling of 66862080 in words is "sixty-six million, eight hundred sixty-two thousand, eighty".