969165648 has 480 divisors, whose sum is σ = 3431780352. Its totient is φ = 261273600.

The previous prime is 969165643. The next prime is 969165713. The reversal of 969165648 is 846561969.

It is a happy number.

969165648 is a `hidden beast` number, since 9 + 69 + 16 + 564 + 8 = 666.

It is a super-3 number, since 3×969165648³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 969165594 and 969165603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (969165643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22538715 + ... + 22538757.

Almost surely, 2^969165648 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 969165648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715890176).

969165648 is an abundant number, since it is smaller than the sum of its proper divisors (2462614704).

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

969165648 is a wasteful number, since it uses less digits than its factorization.

969165648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 107 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 969165648 is about 31131.4254090621. The cubic root of 969165648 is about 989.6143952811.

The spelling of 969165648 in words is "nine hundred sixty-nine million, one hundred sixty-five thousand, six hundred forty-eight".