66465984 has 112 divisors (see below), whose sum is σ = 195722240. Its totient is φ = 19768320.

The previous prime is 66465983. The next prime is 66465991. The reversal of 66465984 is 48956466.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (66465983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76947 + ... + 77805.

It is an arithmetic number, because the mean of its divisors is an integer number (1747520).

Almost surely, 2^66465984 is an apocalyptic number.

66465984 is a gapful number since it is divisible by the number (64) 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 66465984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97861120).

66465984 is an abundant number, since it is smaller than the sum of its proper divisors (129256256).

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

66465984 is a wasteful number, since it uses less digits than its factorization.

66465984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 908 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

The square root of 66465984 is about 8152.6672935917. The cubic root of 66465984 is about 405.0728599293.

The spelling of 66465984 in words is "sixty-six million, four hundred sixty-five thousand, nine hundred eighty-four".