66707400 has 96 divisors (see below), whose sum is σ = 209763360. Its totient is φ = 17533440.

The previous prime is 66707359. The next prime is 66707413. The reversal of 66707400 is 470766.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 43039 + ... + 44561.

It is an arithmetic number, because the mean of its divisors is an integer number (2185035).

Almost surely, 2^66707400 is an apocalyptic number.

66707400 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 66707400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104881680).

66707400 is an abundant number, since it is smaller than the sum of its proper divisors (143055960).

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

66707400 is a wasteful number, since it uses less digits than its factorization.

66707400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1615 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 66707400 is about 8167.4598254292. The cubic root of 66707400 is about 405.5626990117.

The spelling of 66707400 in words is "sixty-six million, seven hundred seven thousand, four hundred".