66812256 has 96 divisors (see below), whose sum is σ = 222727680. Its totient is φ = 19087488.

The previous prime is 66812243. The next prime is 66812293. The reversal of 66812256 is 65221866.

It is a tau number, because it is divible by the number of its divisors (96).

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 66812256.

It is a congruent number.

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, 525 + ... + 11571.

It is an arithmetic number, because the mean of its divisors is an integer number (2320080).

Almost surely, 2^66812256 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 66812256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111363840).

66812256 is an abundant number, since it is smaller than the sum of its proper divisors (155915424).

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

66812256 is a wasteful number, since it uses less digits than its factorization.

66812256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11073 (or 11059 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 66812256 is about 8173.8764365508. The cubic root of 66812256 is about 405.7750863433.

The spelling of 66812256 in words is "sixty-six million, eight hundred twelve thousand, two hundred fifty-six".