960580800 has 252 divisors, whose sum is σ = 3499552056. Its totient is φ = 249753600.

The previous prime is 960580771. The next prime is 960580807. The reversal of 960580800 is 8085069.

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

It is not an unprimeable number, because it can be changed into a prime (960580807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 589587 + ... + 591213.

Almost surely, 2^960580800 is an apocalyptic number.

960580800 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 960580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749776028).

960580800 is an abundant number, since it is smaller than the sum of its proper divisors (2538971256).

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

960580800 is a wasteful number, since it uses less digits than its factorization.

960580800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 960580800 is about 30993.2379721771. The cubic root of 960580800 is about 986.6837307332.

The spelling of 960580800 in words is "nine hundred sixty million, five hundred eighty thousand, eight hundred".