1966400 has 42 divisors (see below), whose sum is σ = 4842510. Its totient is φ = 785920.

The previous prime is 1966399. The next prime is 1966409. The reversal of 1966400 is 46691.

It can be written as a sum of positive squares in 3 ways, for example, as 602176 + 1364224 = 776^2 + 1168^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1966400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1966409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 986 + ... + 2214.

2^1966400 is an apocalyptic number.

1966400 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 1966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2421255).

1966400 is an abundant number, since it is smaller than the sum of its proper divisors (2876110).

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

1966400 is a wasteful number, since it uses less digits than its factorization.

1966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 1966400 is about 1402.2838514366. The cubic root of 1966400 is about 125.2825607939.

It can be divided in two parts, 196 and 6400, that multiplied together give a square (1254400 = 1120²).

The spelling of 1966400 in words is "one million, nine hundred sixty-six thousand, four hundred".