66949872 has 160 divisors (see below), whose sum is σ = 203558400. Its totient is φ = 18754560.

The previous prime is 66949853. The next prime is 66949877. The reversal of 66949872 is 27894966.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66949877) 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, 449254 + ... + 449402.

It is an arithmetic number, because the mean of its divisors is an integer number (1272240).

Almost surely, 2^66949872 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 66949872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101779200).

66949872 is an abundant number, since it is smaller than the sum of its proper divisors (136608528).

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

66949872 is a wasteful number, since it uses less digits than its factorization.

66949872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 225 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The square root of 66949872 is about 8182.2901439634. The cubic root of 66949872 is about 406.0534925918.

The spelling of 66949872 in words is "sixty-six million, nine hundred forty-nine thousand, eight hundred seventy-two".