66187968 has 224 divisors, whose sum is σ = 226088448. Its totient is φ = 16727040.

The previous prime is 66187967. The next prime is 66187973. The reversal of 66187968 is 86978166.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 66187968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66187967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1788846 + ... + 1788882.

Almost surely, 2^66187968 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 66187968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113044224).

66187968 is an abundant number, since it is smaller than the sum of its proper divisors (159900480).

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

66187968 is a wasteful number, since it uses less digits than its factorization.

66187968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 60 counting only the distinct ones).

The product of its digits is 870912, while the sum is 51.

The square root of 66187968 is about 8135.5988101676. The cubic root of 66187968 is about 404.5072868131.

The spelling of 66187968 in words is "sixty-six million, one hundred eighty-seven thousand, nine hundred sixty-eight".