66312576 has 96 divisors (see below), whose sum is σ = 208208520. Its totient is φ = 20090880.

The previous prime is 66312517. The next prime is 66312577. The reversal of 66312576 is 67521366.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 66312576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66312577) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10056 + ... + 15288.

Almost surely, 2^66312576 is an apocalyptic number.

66312576 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 66312576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104104260).

66312576 is an abundant number, since it is smaller than the sum of its proper divisors (141895944).

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

66312576 is a wasteful number, since it uses less digits than its factorization.

66312576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5264 (or 5249 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 66312576 is about 8143.2534038921. The cubic root of 66312576 is about 404.7609746419.

It can be divided in two parts, 6 and 6312576, that multiplied together give a triangular number (37875456 = T₈₇₀₃).

The spelling of 66312576 in words is "sixty-six million, three hundred twelve thousand, five hundred seventy-six".