1964916 has 18 divisors (see below), whose sum is σ = 4966962. Its totient is φ = 654960.

The previous prime is 1964899. The next prime is 1964917. The reversal of 1964916 is 6194691.

1964916 is a `hidden beast` number, since 1 + 9 + 649 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1904400 + 60516 = 1380^2 + 246^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 54581 = 1964916 / (1 + 9 + 6 + 4 + 9 + 1 + 6).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1964917) 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, 27255 + ... + 27326.

2^1964916 is an apocalyptic number.

It is an amenable number.

1964916 is an abundant number, since it is smaller than the sum of its proper divisors (3002046).

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

1964916 is a wasteful number, since it uses less digits than its factorization.

1964916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54591 (or 54586 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 1964916 is about 1401.7546147597. The cubic root of 1964916 is about 125.2510368399.

The spelling of 1964916 in words is "one million, nine hundred sixty-four thousand, nine hundred sixteen".