66099600 has 360 divisors, whose sum is σ = 272647232. Its totient is φ = 14515200.

The previous prime is 66099599. The next prime is 66099601. The reversal of 66099600 is 699066.

It is an interprime number because it is at equal distance from previous prime (66099599) and next prime (66099601).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (66099601) 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, 1083570 + ... + 1083630.

Almost surely, 2^66099600 is an apocalyptic number.

66099600 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 66099600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136323616).

66099600 is an abundant number, since it is smaller than the sum of its proper divisors (206547632).

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

66099600 is a wasteful number, since it uses less digits than its factorization.

66099600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 66099600 is about 8130.1660499648. The cubic root of 66099600 is about 404.3271865078.

The spelling of 66099600 in words is "sixty-six million, ninety-nine thousand, six hundred".