66433536 has 120 divisors (see below), whose sum is σ = 206666460. Its totient is φ = 20422656.

The previous prime is 66433531. The next prime is 66433547. The reversal of 66433536 is 63533466.

It is a happy number.

66433536 is a `hidden beast` number, since 6 + 643 + 3 + 5 + 3 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49787136 + 16646400 = 7056^2 + 4080^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 66433536.

It is not an unprimeable number, because it can be changed into a prime (66433531) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59350 + ... + 60458.

Almost surely, 2^66433536 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 66433536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103333230).

66433536 is an abundant number, since it is smaller than the sum of its proper divisors (140232924).

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

66433536 is a wasteful number, since it uses less digits than its factorization.

66433536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1127 counting only the distinct ones).

The product of its digits is 116640, while the sum is 36.

The square root of 66433536 is about 8150.6770270941. The cubic root of 66433536 is about 405.0069317515.

The spelling of 66433536 in words is "sixty-six million, four hundred thirty-three thousand, five hundred thirty-six".