66751080 has 128 divisors (see below), whose sum is σ = 222307200. Its totient is φ = 15897600.

The previous prime is 66751079. The next prime is 66751081. The reversal of 66751080 is 8015766.

It is an interprime number because it is at equal distance from previous prime (66751079) and next prime (66751081).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (66751081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80106 + ... + 80934.

It is an arithmetic number, because the mean of its divisors is an integer number (1736775).

Almost surely, 2^66751080 is an apocalyptic number.

66751080 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 66751080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111153600).

66751080 is an abundant number, since it is smaller than the sum of its proper divisors (155556120).

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

66751080 is a wasteful number, since it uses less digits than its factorization.

66751080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 66751080 is about 8170.1334138434. The cubic root of 66751080 is about 405.6512005048.

It can be divided in two parts, 667510 and 80, that added together give a triangular number (667590 = T₁₁₅₅).

The spelling of 66751080 in words is "sixty-six million, seven hundred fifty-one thousand, eighty".