66006864 has 120 divisors (see below), whose sum is σ = 230348352. Its totient is φ = 17141760.

The previous prime is 66006827. The next prime is 66006877. The reversal of 66006864 is 46860066.

It is a super-2 number, since 2×66006864² = 8713812190228992, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 8112 + ... + 14064.

Almost surely, 2^66006864 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 66006864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115174176).

66006864 is an abundant number, since it is smaller than the sum of its proper divisors (164341488).

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

66006864 is a wasteful number, since it uses less digits than its factorization.

66006864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5985 (or 5976 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 66006864 is about 8124.4608436499. The cubic root of 66006864 is about 404.1380112087.

The spelling of 66006864 in words is "sixty-six million, six thousand, eight hundred sixty-four".