1965216 has 48 divisors (see below), whose sum is σ = 5630688. Its totient is φ = 595200.

The previous prime is 1965203. The next prime is 1965239. The reversal of 1965216 is 6125691.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126 + ... + 1986.

It is an arithmetic number, because the mean of its divisors is an integer number (117306).

2^1965216 is an apocalyptic number.

1965216 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 1965216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2815344).

1965216 is an abundant number, since it is smaller than the sum of its proper divisors (3665472).

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

1965216 is a wasteful number, since it uses less digits than its factorization.

1965216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1885 (or 1877 counting only the distinct ones).

The product of its digits is 3240, while the sum is 30.

The square root of 1965216 is about 1401.8616194190. The cubic root of 1965216 is about 125.2574108866.

It can be divided in two parts, 19652 and 16, that multiplied together give a cube (314432 = 68³).

The spelling of 1965216 in words is "one million, nine hundred sixty-five thousand, two hundred sixteen".