66419520 has 112 divisors (see below), whose sum is σ = 215920320. Its totient is φ = 17289216.

The previous prime is 66419513. The next prime is 66419531. The reversal of 66419520 is 2591466.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40476 + ... + 42084.

It is an arithmetic number, because the mean of its divisors is an integer number (1927860).

Almost surely, 2^66419520 is an apocalyptic number.

66419520 is a gapful number since it is divisible by the number (60) 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 66419520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107960160).

66419520 is an abundant number, since it is smaller than the sum of its proper divisors (149500800).

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

66419520 is a wasteful number, since it uses less digits than its factorization.

66419520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 66419520 is about 8149.8171758635. The cubic root of 66419520 is about 404.9784472603.

It can be divided in two parts, 6641 and 9520, that added together give a palindrome (16161).

The spelling of 66419520 in words is "sixty-six million, four hundred nineteen thousand, five hundred twenty".