66254400 has 252 divisors, whose sum is σ = 243212112. Its totient is φ = 17095680.

The previous prime is 66254341. The next prime is 66254407. The reversal of 66254400 is 445266.

It is a happy number.

66254400 is a `hidden beast` number, since 6 + 6 + 254 + 400 = 666.

It is not an unprimeable number, because it can be changed into a prime (66254407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 619147 + ... + 619253.

Almost surely, 2^66254400 is an apocalyptic number.

66254400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121606056).

66254400 is an abundant number, since it is smaller than the sum of its proper divisors (176957712).

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

66254400 is a wasteful number, since it uses less digits than its factorization.

66254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 66254400 is about 8139.6805834136. The cubic root of 66254400 is about 404.6425744566.

Adding to 66254400 its reverse (445266), we get a palindrome (66699666).

It can be divided in two parts, 6625 and 4400, that added together give a square (11025 = 105²).

The spelling of 66254400 in words is "sixty-six million, two hundred fifty-four thousand, four hundred".