66987252 has 18 divisors (see below), whose sum is σ = 169328978. Its totient is φ = 22329072.

The previous prime is 66987251. The next prime is 66987253. The reversal of 66987252 is 25278966.

It is an interprime number because it is at equal distance from previous prime (66987251) and next prime (66987253).

It can be written as a sum of positive squares in only one way, i.e., 41525136 + 25462116 = 6444^2 + 5046^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 66987198 and 66987207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66987251) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 930343 + ... + 930414.

Almost surely, 2^66987252 is an apocalyptic number.

It is an amenable number.

66987252 is an abundant number, since it is smaller than the sum of its proper divisors (102341726).

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

66987252 is a wasteful number, since it uses less digits than its factorization.

66987252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1860767 (or 1860762 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 66987252 is about 8184.5740267897. The cubic root of 66987252 is about 406.1290489006.

The spelling of 66987252 in words is "sixty-six million, nine hundred eighty-seven thousand, two hundred fifty-two".