66587248 has 160 divisors (see below), whose sum is σ = 174988800. Its totient is φ = 23804928.

The previous prime is 66587237. The next prime is 66587281. The reversal of 66587248 is 84278566.

It is a super-3 number, since 3×66587248³ (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 66587198 and 66587207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 802215 + ... + 802297.

It is an arithmetic number, because the mean of its divisors is an integer number (1093680).

Almost surely, 2^66587248 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 66587248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87494400).

66587248 is an abundant number, since it is smaller than the sum of its proper divisors (108401552).

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

66587248 is a wasteful number, since it uses less digits than its factorization.

66587248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 153 counting only the distinct ones).

The product of its digits is 645120, while the sum is 46.

The square root of 66587248 is about 8160.1009797673. The cubic root of 66587248 is about 405.3190556009.

The spelling of 66587248 in words is "sixty-six million, five hundred eighty-seven thousand, two hundred forty-eight".