66747960 has 96 divisors (see below), whose sum is σ = 223966080. Its totient is φ = 17222400.

The previous prime is 66747871. The next prime is 66747973. The reversal of 66747960 is 6974766.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8170 + ... + 14150.

It is an arithmetic number, because the mean of its divisors is an integer number (2332980).

Almost surely, 2^66747960 is an apocalyptic number.

66747960 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 66747960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111983040).

66747960 is an abundant number, since it is smaller than the sum of its proper divisors (157218120).

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

66747960 is a wasteful number, since it uses less digits than its factorization.

66747960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6029 (or 6022 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 66747960 is about 8169.9424722577. The cubic root of 66747960 is about 405.6448802502.

The spelling of 66747960 in words is "sixty-six million, seven hundred forty-seven thousand, nine hundred sixty".