960205824 has 132 divisors (see below), whose sum is σ = 2838222816. Its totient is φ = 312496128.

The previous prime is 960205801. The next prime is 960205859. The reversal of 960205824 is 428502069.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 395077 + ... + 397499.

It is an arithmetic number, because the mean of its divisors is an integer number (21501688).

Almost surely, 2^960205824 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 960205824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419111408).

960205824 is an abundant number, since it is smaller than the sum of its proper divisors (1878016992).

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

960205824 is a wasteful number, since it uses less digits than its factorization.

960205824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2492 (or 2471 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 960205824 is about 30987.1880621653. The cubic root of 960205824 is about 986.5553254768. Note that the first 3 decimals are identical.

The spelling of 960205824 in words is "nine hundred sixty million, two hundred five thousand, eight hundred twenty-four".