66089856 has 128 divisors (see below), whose sum is σ = 209548800. Its totient is φ = 18044928.

The previous prime is 66089819. The next prime is 66089857. The reversal of 66089856 is 65898066.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×66089856² = 8735738132201472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66089857) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61290 + ... + 62358.

It is an arithmetic number, because the mean of its divisors is an integer number (1637100).

Almost surely, 2^66089856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66089856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104774400).

66089856 is an abundant number, since it is smaller than the sum of its proper divisors (143458944).

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

66089856 is a wasteful number, since it uses less digits than its factorization.

66089856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The square root of 66089856 is about 8129.5667781254. The cubic root of 66089856 is about 404.3073177152.

The spelling of 66089856 in words is "sixty-six million, eighty-nine thousand, eight hundred fifty-six".