1966720 has 64 divisors (see below), whose sum is σ = 5385600. Its totient is φ = 672768.

The previous prime is 1966697. The next prime is 1966787. The reversal of 1966720 is 276691.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4261 + ... + 4699.

It is an arithmetic number, because the mean of its divisors is an integer number (84150).

2^1966720 is an apocalyptic number.

1966720 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 1966720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2692800).

1966720 is an abundant number, since it is smaller than the sum of its proper divisors (3418880).

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

1966720 is an equidigital number, since it uses as much as digits as its factorization.

1966720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 1966720 is about 1402.3979463761. The cubic root of 1966720 is about 125.2893563331.

The spelling of 1966720 in words is "one million, nine hundred sixty-six thousand, seven hundred twenty".