66226400 has 72 divisors (see below), whose sum is σ = 170223480. Its totient is φ = 25090560.

The previous prime is 66226399. The next prime is 66226409. The reversal of 66226400 is 462266.

It is a self number, because there is not a number n which added to its sum of digits gives 66226400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66226409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13022 + ... + 17378.

It is an arithmetic number, because the mean of its divisors is an integer number (2364215).

Almost surely, 2^66226400 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 66226400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85111740).

66226400 is an abundant number, since it is smaller than the sum of its proper divisors (103997080).

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

66226400 is a wasteful number, since it uses less digits than its factorization.

66226400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4396 (or 4383 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 66226400 is about 8137.9604324425. The cubic root of 66226400 is about 404.5855639611.

Adding to 66226400 its reverse (462266), we get a palindrome (66688666).

The spelling of 66226400 in words is "sixty-six million, two hundred twenty-six thousand, four hundred".