66513384 has 144 divisors (see below), whose sum is σ = 222077700. Its totient is φ = 17869824.

The previous prime is 66513373. The next prime is 66513479. The reversal of 66513384 is 48331566.

66513384 is a `hidden beast` number, since 66 + 513 + 3 + 84 = 666.

66513384 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 2 ways, for example, as 64352484 + 2160900 = 8022^2 + 1470^2 .

It is a super-2 number, since 2×66513384² = 8848060502262912, which contains 22 as substring.

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

Its product of digits (51840) is a multiple of the sum of its prime factors (1152).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 59422 + ... + 60530.

Almost surely, 2^66513384 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 66513384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111038850).

66513384 is an abundant number, since it is smaller than the sum of its proper divisors (155564316).

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

66513384 is a wasteful number, since it uses less digits than its factorization.

66513384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1138 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 66513384 is about 8155.5737995557. The cubic root of 66513384 is about 405.1691291784.

The spelling of 66513384 in words is "sixty-six million, five hundred thirteen thousand, three hundred eighty-four".