66354552 has 192 divisors, whose sum is σ = 212284800. Its totient is φ = 19232640.

The previous prime is 66354551. The next prime is 66354571. The reversal of 66354552 is 25545366.

It is a happy number.

66354552 is a `hidden beast` number, since 6 + 63 + 545 + 52 = 666.

It is a super-2 number, since 2×66354552² = 8805853142241408, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66354551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 620083 + ... + 620189.

It is an arithmetic number, because the mean of its divisors is an integer number (1105650).

Almost surely, 2^66354552 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 66354552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106142400).

66354552 is an abundant number, since it is smaller than the sum of its proper divisors (145930248).

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

66354552 is a wasteful number, since it uses less digits than its factorization.

66354552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 152 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 66354552 is about 8145.8303444155. The cubic root of 66354552 is about 404.8463614770.

It can be divided in two parts, 66 and 354552, that multiplied together give a palindrome (23400432).

The spelling of 66354552 in words is "sixty-six million, three hundred fifty-four thousand, five hundred fifty-two".