968591520 has 240 divisors, whose sum is σ = 3681909000. Its totient is φ = 238381056.

The previous prime is 968591471. The next prime is 968591543. The reversal of 968591520 is 25195869.

968591520 is a `hidden beast` number, since 9 + 6 + 8 + 591 + 52 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 294877584 + 673713936 = 17172^2 + 25956^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 165606 + ... + 171354.

Almost surely, 2^968591520 is an apocalyptic number.

968591520 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 968591520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1840954500).

968591520 is an abundant number, since it is smaller than the sum of its proper divisors (2713317480).

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

968591520 is a wasteful number, since it uses less digits than its factorization.

968591520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5789 (or 5772 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 968591520 is about 31122.2030068567. The cubic root of 968591520 is about 989.4189427754.

The spelling of 968591520 in words is "nine hundred sixty-eight million, five hundred ninety-one thousand, five hundred twenty".