66623160 has 64 divisors (see below), whose sum is σ = 200724480. Its totient is φ = 17690240.

The previous prime is 66623143. The next prime is 66623191. The reversal of 66623160 is 6132666.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30505 + ... + 32615.

It is an arithmetic number, because the mean of its divisors is an integer number (3136320).

Almost surely, 2^66623160 is an apocalyptic number.

66623160 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 66623160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100362240).

66623160 is an abundant number, since it is smaller than the sum of its proper divisors (134101320).

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

66623160 is a wasteful number, since it uses less digits than its factorization.

66623160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2388 (or 2384 counting only the distinct ones).

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

The square root of 66623160 is about 8162.3011461229. The cubic root of 66623160 is about 405.3919083987.

The spelling of 66623160 in words is "sixty-six million, six hundred twenty-three thousand, one hundred sixty".