66367560 has 96 divisors (see below), whose sum is σ = 231629760. Its totient is φ = 15168384.

The previous prime is 66367549. The next prime is 66367579. The reversal of 66367560 is 6576366.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 237 + ... + 11523.

It is an arithmetic number, because the mean of its divisors is an integer number (2412810).

Almost surely, 2^66367560 is an apocalyptic number.

66367560 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 66367560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115814880).

66367560 is an abundant number, since it is smaller than the sum of its proper divisors (165262200).

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

66367560 is a wasteful number, since it uses less digits than its factorization.

66367560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11315 (or 11304 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 39.

The square root of 66367560 is about 8146.6287505937. The cubic root of 66367560 is about 404.8728148110.

It can be divided in two parts, 6636 and 7560, that added together give a triangular number (14196 = T₁₆₈).

The spelling of 66367560 in words is "sixty-six million, three hundred sixty-seven thousand, five hundred sixty".