66261360 has 160 divisors (see below), whose sum is σ = 236056320. Its totient is φ = 15206400.

The previous prime is 66261347. The next prime is 66261401. The reversal of 66261360 is 6316266.

66261360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49500 + ... + 50820.

It is an arithmetic number, because the mean of its divisors is an integer number (1475352).

Almost surely, 2^66261360 is an apocalyptic number.

66261360 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 66261360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118028160).

66261360 is an abundant number, since it is smaller than the sum of its proper divisors (169794960).

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

66261360 is a wasteful number, since it uses less digits than its factorization.

66261360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 66261360 is about 8140.1081073902. The cubic root of 66261360 is about 404.6567431443.

The spelling of 66261360 in words is "sixty-six million, two hundred sixty-one thousand, three hundred sixty".