66295040 has 144 divisors (see below), whose sum is σ = 186412800. Its totient is φ = 22579200.

The previous prime is 66295013. The next prime is 66295049. The reversal of 66295040 is 4059266.

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

It is a junction number, because it is equal to n+sod(n) for n = 66294988 and 66295006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66295049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 438965 + ... + 439115.

Almost surely, 2^66295040 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 66295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93206400).

66295040 is an abundant number, since it is smaller than the sum of its proper divisors (120117760).

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

66295040 is an equidigital number, since it uses as much as digits as its factorization.

66295040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 66295040 is about 8142.1766131668. The cubic root of 66295040 is about 404.7252925504.

The spelling of 66295040 in words is "sixty-six million, two hundred ninety-five thousand, forty".