66523136 has 52 divisors (see below), whose sum is σ = 135151500. Its totient is φ = 32735232.

The previous prime is 66523133. The next prime is 66523141. The reversal of 66523136 is 63132566.

It can be written as a sum of positive squares in 2 ways, for example, as 25563136 + 40960000 = 5056^2 + 6400^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66523133) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 446390 + ... + 446538.

Almost surely, 2^66523136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66523136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67575750).

66523136 is an abundant number, since it is smaller than the sum of its proper divisors (68628364).

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

66523136 is a wasteful number, since it uses less digits than its factorization.

66523136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 260 counting only the distinct ones).

The product of its digits is 19440, while the sum is 32.

The square root of 66523136 is about 8156.1716509647. The cubic root of 66523136 is about 405.1889297861.

The spelling of 66523136 in words is "sixty-six million, five hundred twenty-three thousand, one hundred thirty-six".