969995520 has 576 divisors, whose sum is σ = 3955875840. Its totient is φ = 222953472.

The previous prime is 969995497. The next prime is 969995527. The reversal of 969995520 is 25599969.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (969995527) 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 63 ways as a sum of consecutive naturals, for example, 7637697 + ... + 7637823.

It is an arithmetic number, because the mean of its divisors is an integer number (6867840).

Almost surely, 2^969995520 is an apocalyptic number.

969995520 is a gapful number since it is divisible by the number (90) 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 969995520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1977937920).

969995520 is an abundant number, since it is smaller than the sum of its proper divisors (2985880320).

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

969995520 is a wasteful number, since it uses less digits than its factorization.

969995520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1968300, while the sum is 54.

The square root of 969995520 is about 31144.7510826463. The cubic root of 969995520 is about 989.8967752796.

The spelling of 969995520 in words is "nine hundred sixty-nine million, nine hundred ninety-five thousand, five hundred twenty".