66011400 has 432 divisors, whose sum is σ = 283196160. Its totient is φ = 13478400.

The previous prime is 66011347. The next prime is 66011411. The reversal of 66011400 is 411066.

66011400 is a `hidden beast` number, since 660 + 1 + 1 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2129385 + ... + 2129415.

Almost surely, 2^66011400 is an apocalyptic number.

66011400 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 66011400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141598080).

66011400 is an abundant number, since it is smaller than the sum of its proper divisors (217184760).

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

66011400 is a wasteful number, since it uses less digits than its factorization.

66011400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 66011400 is about 8124.7399958399. The cubic root of 66011400 is about 404.1472684683.

Adding to 66011400 its reverse (411066), we get a palindrome (66422466).

It can be divided in two parts, 6601 and 1400, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 66011400 in words is "sixty-six million, eleven thousand, four hundred".