66126888 has 64 divisors (see below), whose sum is σ = 184392000. Its totient is φ = 21957696.

The previous prime is 66126869. The next prime is 66126899. The reversal of 66126888 is 88862166.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83631 + ... + 84417.

It is an arithmetic number, because the mean of its divisors is an integer number (2881125).

Almost surely, 2^66126888 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 66126888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92196000).

66126888 is an abundant number, since it is smaller than the sum of its proper divisors (118265112).

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

66126888 is a wasteful number, since it uses less digits than its factorization.

66126888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191 (or 1181 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 66126888 is about 8131.8440713039. The cubic root of 66126888 is about 404.3828185253.

The spelling of 66126888 in words is "sixty-six million, one hundred twenty-six thousand, eight hundred eighty-eight".