66966240 has 144 divisors (see below), whose sum is σ = 232064784. Its totient is φ = 16220160.

The previous prime is 66966223. The next prime is 66966253. The reversal of 66966240 is 4266966.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57504 + ... + 58656.

It is an arithmetic number, because the mean of its divisors is an integer number (1611561).

Almost surely, 2^66966240 is an apocalyptic number.

66966240 is a gapful number since it is divisible by the number (60) 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 66966240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116032392).

66966240 is an abundant number, since it is smaller than the sum of its proper divisors (165098544).

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

66966240 is a wasteful number, since it uses less digits than its factorization.

66966240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 66966240 is about 8183.2902918081. The cubic root of 66966240 is about 406.0865807408.

The spelling of 66966240 in words is "sixty-six million, nine hundred sixty-six thousand, two hundred forty".