66542256 has 240 divisors, whose sum is σ = 224291200. Its totient is φ = 18817920.

The previous prime is 66542251. The next prime is 66542279. The reversal of 66542256 is 65224566.

66542256 is a `hidden beast` number, since 66 + 542 + 2 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 66542256.

It is not an unprimeable number, because it can be changed into a prime (66542251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 993135 + ... + 993201.

Almost surely, 2^66542256 is an apocalyptic number.

66542256 is a gapful number since it is divisible by the number (66) 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 66542256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112145600).

66542256 is an abundant number, since it is smaller than the sum of its proper divisors (157748944).

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

66542256 is a wasteful number, since it uses less digits than its factorization.

66542256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 102 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 66542256 is about 8157.3436852936. The cubic root of 66542256 is about 405.2277457063.

The spelling of 66542256 in words is "sixty-six million, five hundred forty-two thousand, two hundred fifty-six".