960940800 has 432 divisors, whose sum is σ = 3619351680. Its totient is φ = 249384960.

The previous prime is 960940769. The next prime is 960940819. The reversal of 960940800 is 8049069.

960940800 is a `hidden beast` number, since 9 + 609 + 40 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×960940800² = 1846814442209280000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11577559 + ... + 11577641.

Almost surely, 2^960940800 is an apocalyptic number.

960940800 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 960940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809675840).

960940800 is an abundant number, since it is smaller than the sum of its proper divisors (2658410880).

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

960940800 is a wasteful number, since it uses less digits than its factorization.

960940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 960940800 is about 30999.0451465848. The cubic root of 960940800 is about 986.8069762316.

Adding to 960940800 its reverse (8049069), we get a palindrome (968989869).

The spelling of 960940800 in words is "nine hundred sixty million, nine hundred forty thousand, eight hundred".