66117600 has 144 divisors (see below), whose sum is σ = 239203440. Its totient is φ = 17625600.

The previous prime is 66117599. The next prime is 66117613. The reversal of 66117600 is 671166.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 20070 + ... + 23130.

It is an arithmetic number, because the mean of its divisors is an integer number (1661135).

Almost surely, 2^66117600 is an apocalyptic number.

66117600 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 66117600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119601720).

66117600 is an abundant number, since it is smaller than the sum of its proper divisors (173085840).

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

66117600 is a wasteful number, since it uses less digits than its factorization.

66117600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3090 (or 3071 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 66117600 is about 8131.2729630729. The cubic root of 66117600 is about 404.3638848076.

Adding to 66117600 its reverse (671166), we get a palindrome (66788766).

The spelling of 66117600 in words is "sixty-six million, one hundred seventeen thousand, six hundred".