66417516 has 96 divisors (see below), whose sum is σ = 193052160. Its totient is φ = 19569600.

The previous prime is 66417503. The next prime is 66417529. The reversal of 66417516 is 61571466.

66417516 is a `hidden beast` number, since 6 + 641 + 7 + 5 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (66417503) and next prime (66417529).

It is a super-2 number, since 2×66417516² = 8822572863220512, which contains 22 as substring.

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

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 31 ways as a sum of consecutive naturals, for example, 43201 + ... + 44711.

It is an arithmetic number, because the mean of its divisors is an integer number (2010960).

Almost surely, 2^66417516 is an apocalyptic number.

66417516 is a gapful number since it is divisible by the number (66) 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 66417516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96526080).

66417516 is an abundant number, since it is smaller than the sum of its proper divisors (126634644).

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

66417516 is a wasteful number, since it uses less digits than its factorization.

66417516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572 (or 1564 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 66417516 is about 8149.6942273928. The cubic root of 66417516 is about 404.9743742359.

The spelling of 66417516 in words is "sixty-six million, four hundred seventeen thousand, five hundred sixteen".