8960400 has 180 divisors, whose sum is σ = 32981520. Its totient is φ = 2246400.

The previous prime is 8960387. The next prime is 8960443. The reversal of 8960400 is 40698.

8960400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a zygodrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 68335 + ... + 68465.

Almost surely, 2^8960400 is an apocalyptic number.

8960400 is a gapful number since it is divisible by the number (80) 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 8960400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16490760).

8960400 is an abundant number, since it is smaller than the sum of its proper divisors (24021120).

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

8960400 is a wasteful number, since it uses less digits than its factorization.

8960400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 8960400 is about 2993.3927239839. The cubic root of 8960400 is about 207.7028547984.

The spelling of 8960400 in words is "eight million, nine hundred sixty thousand, four hundred".