66996132 has 96 divisors (see below), whose sum is σ = 187219200. Its totient is φ = 18627840.

The previous prime is 66996131. The next prime is 66996143. The reversal of 66996132 is 23169966.

It is a super-2 number, since 2×66996132² = 8976963405922848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66996131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168558 + ... + 168954.

It is an arithmetic number, because the mean of its divisors is an integer number (1950200).

Almost surely, 2^66996132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66996132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93609600).

66996132 is an abundant number, since it is smaller than the sum of its proper divisors (120223068).

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

66996132 is a wasteful number, since it uses less digits than its factorization.

66996132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 450 counting only the distinct ones).

The product of its digits is 104976, while the sum is 42.

The square root of 66996132 is about 8185.1164927568. The cubic root of 66996132 is about 406.1469939399.

The spelling of 66996132 in words is "sixty-six million, nine hundred ninety-six thousand, one hundred thirty-two".