1964664 has 48 divisors (see below), whose sum is σ = 5733000. Its totient is φ = 604224.

The previous prime is 1964659. The next prime is 1964671. The reversal of 1964664 is 4664691.

1964664 is a `hidden beast` number, since 1 + 9 + 646 + 6 + 4 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114 + ... + 1985.

2^1964664 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 1964664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2866500).

1964664 is an abundant number, since it is smaller than the sum of its proper divisors (3768336).

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

1964664 is a wasteful number, since it uses less digits than its factorization.

1964664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2124 (or 2117 counting only the distinct ones).

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

The square root of 1964664 is about 1401.6647245329. The cubic root of 1964664 is about 125.2456821393.

It can be divided in two parts, 1964 and 664, that added together give a triangular number (2628 = T₇₂).

The spelling of 1964664 in words is "one million, nine hundred sixty-four thousand, six hundred sixty-four".