959616 has 144 divisors (see below), whose sum is σ = 3401190. Its totient is φ = 258048.

The previous prime is 959603. The next prime is 959617. The reversal of 959616 is 616959.

959616 = T₂₅₃ + T₂₅₄ + ... + T₂₇₉.

It can be written as a sum of positive squares in only one way, i.e., 705600 + 254016 = 840^2 + 504^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (959617) by changing a digit.

959616 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56440 + ... + 56456.

2⁹⁵⁹⁶¹⁶ is an apocalyptic number.

959616 is a gapful number since it is divisible by the number (96) 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 959616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700595).

959616 is an abundant number, since it is smaller than the sum of its proper divisors (2441574).

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

959616 is a wasteful number, since it uses less digits than its factorization.

959616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 29 counting only the distinct ones).

The product of its digits is 14580, while the sum is 36.

The square root of 959616 is about 979.5999183340. The cubic root of 959616 is about 98.6353280880.

The spelling of 959616 in words is "nine hundred fifty-nine thousand, six hundred sixteen".