66067820 has 96 divisors (see below), whose sum is σ = 176418816. Its totient is φ = 20217600.

The previous prime is 66067817. The next prime is 66067861. The reversal of 66067820 is 2876066.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55835 + ... + 57005.

It is an arithmetic number, because the mean of its divisors is an integer number (1837696).

Almost surely, 2^66067820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66067820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88209408).

66067820 is an abundant number, since it is smaller than the sum of its proper divisors (110350996).

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

66067820 is a wasteful number, since it uses less digits than its factorization.

66067820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 66067820 is about 8128.2113653620. The cubic root of 66067820 is about 404.2623773519.

The spelling of 66067820 in words is "sixty-six million, sixty-seven thousand, eight hundred twenty".