1964016 has 60 divisors (see below), whose sum is σ = 5745168. Its totient is φ = 625152.

The previous prime is 1964009. The next prime is 1964033. The reversal of 1964016 is 6104691.

1964016 is a `hidden beast` number, since 1 + 9 + 640 + 16 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 3016 + ... + 3608.

2^1964016 is an apocalyptic number.

1964016 is a gapful number since it is divisible by the number (16) 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 1964016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872584).

1964016 is an abundant number, since it is smaller than the sum of its proper divisors (3781152).

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

1964016 is a wasteful number, since it uses less digits than its factorization.

1964016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1964016 is about 1401.4335517605. The cubic root of 1964016 is about 125.2319108063.

The spelling of 1964016 in words is "one million, nine hundred sixty-four thousand, sixteen".