66135400 has 48 divisors (see below), whose sum is σ = 158739840. Its totient is φ = 25598400.

The previous prime is 66135353. The next prime is 66135427. The reversal of 66135400 is 453166.

66135400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×66135400² = 8747782266320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 867 + ... + 11533.

It is an arithmetic number, because the mean of its divisors is an integer number (3307080).

Almost surely, 2^66135400 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 66135400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79369920).

66135400 is an abundant number, since it is smaller than the sum of its proper divisors (92604440).

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

66135400 is a wasteful number, since it uses less digits than its factorization.

66135400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10714 (or 10705 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 66135400 is about 8132.3674289840. The cubic root of 66135400 is about 404.4001687993.

Adding to 66135400 its reverse (453166), we get a palindrome (66588566).

The spelling of 66135400 in words is "sixty-six million, one hundred thirty-five thousand, four hundred".