1966574720 has 128 divisors (see below), whose sum is σ = 5168707200. Its totient is φ = 709550080.

The previous prime is 1966574713. The next prime is 1966574723. The reversal of 1966574720 is 274756691.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1966574720² = 7734832258686156800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1966574723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 963461 + ... + 965499.

It is an arithmetic number, because the mean of its divisors is an integer number (40380525).

Almost surely, 2^1966574720 is an apocalyptic number.

1966574720 is a gapful number since it is divisible by the number (10) 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 1966574720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2584353600).

1966574720 is an abundant number, since it is smaller than the sum of its proper divisors (3202132480).

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

1966574720 is a wasteful number, since it uses less digits than its factorization.

1966574720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2206 (or 2194 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 47.

The square root of 1966574720 is about 44346.0789698481. The cubic root of 1966574720 is about 1252.8627124969.

The spelling of 1966574720 in words is "one billion, nine hundred sixty-six million, five hundred seventy-four thousand, seven hundred twenty".