66136896 has 168 divisors, whose sum is σ = 221894400. Its totient is φ = 18441216.

The previous prime is 66136883. The next prime is 66136927. The reversal of 66136896 is 69863166.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189330 + ... + 189678.

It is an arithmetic number, because the mean of its divisors is an integer number (1320800).

Almost surely, 2^66136896 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 66136896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110947200).

66136896 is an abundant number, since it is smaller than the sum of its proper divisors (155757504).

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

66136896 is a wasteful number, since it uses less digits than its factorization.

66136896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 408 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 66136896 is about 8132.4594066002. The cubic root of 66136896 is about 404.4032179887.

The spelling of 66136896 in words is "sixty-six million, one hundred thirty-six thousand, eight hundred ninety-six".