1016964 has 72 divisors (see below), whose sum is σ = 2889432. Its totient is φ = 299520.

The previous prime is 1016959. The next prime is 1016971. The reversal of 1016964 is 4696101.

It can be written as a sum of positive squares in 4 ways, for example, as 900 + 1016064 = 30^2 + 1008^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19162 + ... + 19214.

It is an arithmetic number, because the mean of its divisors is an integer number (40131).

2^1016964 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 1016964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444716).

1016964 is an abundant number, since it is smaller than the sum of its proper divisors (1872468).

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

1016964 is a wasteful number, since it uses less digits than its factorization.

1016964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 112 counting only the distinct ones).

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

The square root of 1016964 is about 1008.4463297568. The cubic root of 1016964 is about 100.5622989394.

The spelling of 1016964 in words is "one million, sixteen thousand, nine hundred sixty-four".