66564960 has 192 divisors, whose sum is σ = 261563904. Its totient is φ = 13824000.

The previous prime is 66564943. The next prime is 66564973. The reversal of 66564960 is 6946566.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36060 + ... + 37860.

It is an arithmetic number, because the mean of its divisors is an integer number (1362312).

Almost surely, 2^66564960 is an apocalyptic number.

66564960 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 66564960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130781952).

66564960 is an abundant number, since it is smaller than the sum of its proper divisors (194998944).

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

66564960 is a wasteful number, since it uses less digits than its factorization.

66564960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1837 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 66564960 is about 8158.7351960950. The cubic root of 66564960 is about 405.2738279260.

The spelling of 66564960 in words is "sixty-six million, five hundred sixty-four thousand, nine hundred sixty".