964116 has 48 divisors (see below), whose sum is σ = 2553600. Its totient is φ = 314496.

The previous prime is 964097. The next prime is 964133. The reversal of 964116 is 611469.

964116 is a `hidden beast` number, since 9 + 641 + 16 = 666.

964116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×964116³ = 2688494333772938688, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a plaindrome in base 7 and base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 964116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8476 + ... + 8588.

It is an arithmetic number, because the mean of its divisors is an integer number (53200).

2⁹⁶⁴¹¹⁶ 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 964116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276800).

964116 is an abundant number, since it is smaller than the sum of its proper divisors (1589484).

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

964116 is a wasteful number, since it uses less digits than its factorization.

964116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 197 counting only the distinct ones).

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

The square root of 964116 is about 981.8940879749. The cubic root of 964116 is about 98.7892670841.

The spelling of 964116 in words is "nine hundred sixty-four thousand, one hundred sixteen".