66369888 has 192 divisors, whose sum is σ = 220147200. Its totient is φ = 19284480.

The previous prime is 66369847. The next prime is 66369889. The reversal of 66369888 is 88896366.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66369889) 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, 213253 + ... + 213563.

It is an arithmetic number, because the mean of its divisors is an integer number (1146600).

Almost surely, 2^66369888 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 66369888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110073600).

66369888 is an abundant number, since it is smaller than the sum of its proper divisors (153777312).

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

66369888 is a wasteful number, since it uses less digits than its factorization.

66369888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 348 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 66369888 is about 8146.7716305295. The cubic root of 66369888 is about 404.8775487146.

The spelling of 66369888 in words is "sixty-six million, three hundred sixty-nine thousand, eight hundred eighty-eight".