66256344 has 384 divisors, whose sum is σ = 256089600. Its totient is φ = 14929920.

The previous prime is 66256343. The next prime is 66256357. The reversal of 66256344 is 44365266.

66256344 is a `hidden beast` number, since 66 + 256 + 344 = 666.

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

Its product of digits (103680) is a multiple of the sum of its prime divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 66256299 and 66256308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66256343) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1790694 + ... + 1790730.

It is an arithmetic number, because the mean of its divisors is an integer number (666900).

Almost surely, 2^66256344 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 66256344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128044800).

66256344 is an abundant number, since it is smaller than the sum of its proper divisors (189833256).

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

66256344 is a wasteful number, since it uses less digits than its factorization.

66256344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 96 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 66256344 is about 8139.7999975429. The cubic root of 66256344 is about 404.6465320175.

The spelling of 66256344 in words is "sixty-six million, two hundred fifty-six thousand, three hundred forty-four".