960411600 has 240 divisors, whose sum is σ = 3620125440. Its totient is φ = 240998400.

The previous prime is 960411587. The next prime is 960411607. The reversal of 960411600 is 6114069.

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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (960411607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180985 + ... + 186215.

It is an arithmetic number, because the mean of its divisors is an integer number (15083856).

Almost surely, 2^960411600 is an apocalyptic number.

960411600 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 960411600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1810062720).

960411600 is an abundant number, since it is smaller than the sum of its proper divisors (2659713840).

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

960411600 is a wasteful number, since it uses less digits than its factorization.

960411600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5275 (or 5258 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 960411600 is about 30990.5082242935. The cubic root of 960411600 is about 986.6257947114.

Adding to 960411600 its reverse (6114069), we get a palindrome (966525669).

The spelling of 960411600 in words is "nine hundred sixty million, four hundred eleven thousand, six hundred".