66827520 has 108 divisors (see below), whose sum is σ = 231256116. Its totient is φ = 17817600.

The previous prime is 66827479. The next prime is 66827531. The reversal of 66827520 is 2572866.

It can be written as a sum of positive squares in 2 ways, for example, as 49787136 + 17040384 = 7056^2 + 4128^2 .

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8620 + ... + 14420.

Almost surely, 2^66827520 is an apocalyptic number.

66827520 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 66827520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115628058).

66827520 is an abundant number, since it is smaller than the sum of its proper divisors (164428596).

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

66827520 is a wasteful number, since it uses less digits than its factorization.

66827520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5828 (or 5811 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 66827520 is about 8174.8100895372. The cubic root of 66827520 is about 405.8059852615.

The spelling of 66827520 in words is "sixty-six million, eight hundred twenty-seven thousand, five hundred twenty".