66553344 has 240 divisors, whose sum is σ = 227891664. Its totient is φ = 18432000.

The previous prime is 66553337. The next prime is 66553369. The reversal of 66553344 is 44335566.

66553344 is a `hidden beast` number, since 66 + 553 + 3 + 44 = 666.

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

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 66553299 and 66553308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 658894 + ... + 658994.

Almost surely, 2^66553344 is an apocalyptic number.

66553344 is a gapful number since it is divisible by the number (64) 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 66553344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113945832).

66553344 is an abundant number, since it is smaller than the sum of its proper divisors (161338320).

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

66553344 is a wasteful number, since it uses less digits than its factorization.

66553344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 130 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The square root of 66553344 is about 8158.0232899888. The cubic root of 66553344 is about 405.2502522857.

It can be divided in two parts, 6655 and 3344, that added together give a palindrome (9999).

The spelling of 66553344 in words is "sixty-six million, five hundred fifty-three thousand, three hundred forty-four".