66094400 has 84 divisors (see below), whose sum is σ = 164645340. Its totient is φ = 26112000.

The previous prime is 66094373. The next prime is 66094403. The reversal of 66094400 is 449066.

It can be written as a sum of positive squares in 6 ways, for example, as 9784384 + 56310016 = 3128^2 + 7504^2 .

It is a super-2 number, since 2×66094400² = 8736939422720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66094403) 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, 161396 + ... + 161804.

Almost surely, 2^66094400 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 66094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82322670).

66094400 is an abundant number, since it is smaller than the sum of its proper divisors (98550940).

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

66094400 is a wasteful number, since it uses less digits than its factorization.

66094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 66094400 is about 8129.8462470086. The cubic root of 66094400 is about 404.3165835363.

The spelling of 66094400 in words is "sixty-six million, ninety-four thousand, four hundred".