66010500 has 72 divisors (see below), whose sum is σ = 208255320. Its totient is φ = 17601600.

The previous prime is 66010487. The next prime is 66010543. The reversal of 66010500 is 501066.

66010500 is a `hidden beast` number, since 660 + 1 + 0 + 5 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1272384 + 64738116 = 1128^2 + 8046^2 .

It is a super-2 number, since 2×66010500² = 8714772220500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 2835 + ... + 11834.

It is an arithmetic number, because the mean of its divisors is an integer number (2892435).

Almost surely, 2^66010500 is an apocalyptic number.

66010500 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66010500 is an abundant number, since it is smaller than the sum of its proper divisors (142244820).

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

66010500 is a wasteful number, since it uses less digits than its factorization.

66010500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14694 (or 14679 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 66010500 is about 8124.6846092633. The cubic root of 66010500 is about 404.1454317441.

Adding to 66010500 its reverse (501066), we get a palindrome (66511566).

The spelling of 66010500 in words is "sixty-six million, ten thousand, five hundred".