66034800 has 360 divisors, whose sum is σ = 264451824. Its totient is φ = 15114240.

The previous prime is 66034789. The next prime is 66034807. The reversal of 66034800 is 843066.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×66034800² = 8721189622080000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66034807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 795559 + ... + 795641.

Almost surely, 2^66034800 is an apocalyptic number.

66034800 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 66034800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132225912).

66034800 is an abundant number, since it is smaller than the sum of its proper divisors (198417024).

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

66034800 is a wasteful number, since it uses less digits than its factorization.

66034800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 66034800 is about 8126.1799143263. The cubic root of 66034800 is about 404.1950174371.

Adding to 66034800 its reverse (843066), we get a palindrome (66877866).

The spelling of 66034800 in words is "sixty-six million, thirty-four thousand, eight hundred".