1966464 has 64 divisors (see below), whose sum is σ = 5814000. Its totient is φ = 654336.

The previous prime is 1966463. The next prime is 1966493. The reversal of 1966464 is 4646691.

1966464 is a `hidden beast` number, since 1 + 9 + 6 + 646 + 4 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1966463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3172 + ... + 3740.

2^1966464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1966464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2907000).

1966464 is an abundant number, since it is smaller than the sum of its proper divisors (3847536).

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

1966464 is an equidigital number, since it uses as much as digits as its factorization.

1966464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 574 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 1966464 is about 1402.3066711672. The cubic root of 1966464 is about 125.2839199607.

The spelling of 1966464 in words is "one million, nine hundred sixty-six thousand, four hundred sixty-four".