66125400 has 192 divisors, whose sum is σ = 229806720. Its totient is φ = 15590400.

The previous prime is 66125383. The next prime is 66125419. The reversal of 66125400 is 452166.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 283684 + ... + 283916.

It is an arithmetic number, because the mean of its divisors is an integer number (1196910).

Almost surely, 2^66125400 is an apocalyptic number.

66125400 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 66125400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114903360).

66125400 is an abundant number, since it is smaller than the sum of its proper divisors (163681320).

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

66125400 is a wasteful number, since it uses less digits than its factorization.

66125400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 66125400 is about 8131.7525786266. The cubic root of 66125400 is about 404.3797853358.

Adding to 66125400 its reverse (452166), we get a palindrome (66577566).

The spelling of 66125400 in words is "sixty-six million, one hundred twenty-five thousand, four hundred".