66078360 has 144 divisors (see below), whose sum is σ = 223067520. Its totient is φ = 16963200.

The previous prime is 66078343. The next prime is 66078367. The reversal of 66078360 is 6387066.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66078367) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 345865 + ... + 346055.

It is an arithmetic number, because the mean of its divisors is an integer number (1549080).

Almost surely, 2^66078360 is an apocalyptic number.

66078360 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 66078360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111533760).

66078360 is an abundant number, since it is smaller than the sum of its proper divisors (156989160).

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

66078360 is a wasteful number, since it uses less digits than its factorization.

66078360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 66078360 is about 8128.8596986293. The cubic root of 66078360 is about 404.2838739438.

The spelling of 66078360 in words is "sixty-six million, seventy-eight thousand, three hundred sixty".