1966440 has 64 divisors (see below), whose sum is σ = 6744960. Its totient is φ = 449280.

The previous prime is 1966429. The next prime is 1966463. The reversal of 1966440 is 446691.

1966440 = 73² + 74² + ... + 184².

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

It is a junction number, because it is equal to n+sod(n) for n = 1966398 and 1966407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 331 + ... + 2010.

It is an arithmetic number, because the mean of its divisors is an integer number (105390).

2^1966440 is an apocalyptic number.

1966440 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 1966440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3372480).

1966440 is an abundant number, since it is smaller than the sum of its proper divisors (4778520).

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

1966440 is a wasteful number, since it uses less digits than its factorization.

1966440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2362 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 1966440 is about 1402.2981138118. The cubic root of 1966440 is about 125.2834102766.

The spelling of 1966440 in words is "one million, nine hundred sixty-six thousand, four hundred forty".