66866352 has 80 divisors (see below), whose sum is σ = 200820480. Its totient is φ = 18775296.

The previous prime is 66866351. The next prime is 66866353. The reversal of 66866352 is 25366866.

It is an interprime number because it is at equal distance from previous prime (66866351) and next prime (66866353).

It is a super-2 number, since 2×66866352² = 8942218059575808, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) 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 (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66866351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18138 + ... + 21510.

It is an arithmetic number, because the mean of its divisors is an integer number (2510256).

Almost surely, 2^66866352 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 66866352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100410240).

66866352 is an abundant number, since it is smaller than the sum of its proper divisors (133954128).

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

66866352 is a wasteful number, since it uses less digits than its factorization.

66866352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3450 (or 3444 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 66866352 is about 8177.1848456544. The cubic root of 66866352 is about 405.8845716819.

The spelling of 66866352 in words is "sixty-six million, eight hundred sixty-six thousand, three hundred fifty-two".