66970624 has 44 divisors (see below), whose sum is σ = 153017344. Its totient is φ = 28698624.

The previous prime is 66970621. The next prime is 66970637. The reversal of 66970624 is 42607966.

66970624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (66970621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2497 + ... + 11839.

Almost surely, 2^66970624 is an apocalyptic number.

66970624 is a gapful number since it is divisible by the number (64) 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 66970624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76508672).

66970624 is an abundant number, since it is smaller than the sum of its proper divisors (86046720).

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

66970624 is an equidigital number, since it uses as much as digits as its factorization.

66970624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9370 (or 9352 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 66970624 is about 8183.5581503402. The cubic root of 66970624 is about 406.0954421448.

The spelling of 66970624 in words is "sixty-six million, nine hundred seventy thousand, six hundred twenty-four".