8160400 has 60 divisors (see below), whose sum is σ = 20480832. Its totient is φ = 3118720.

The previous prime is 8160379. The next prime is 8160401. The reversal of 8160400 is 40618.

It is not an unprimeable number, because it can be changed into a prime (8160401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8757 + ... + 9643.

Almost surely, 2^8160400 is an apocalyptic number.

8160400 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 8160400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10240416).

8160400 is an abundant number, since it is smaller than the sum of its proper divisors (12320432).

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

8160400 is a wasteful number, since it uses less digits than its factorization.

8160400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 8160400 is about 2856.6413845633. The cubic root of 8160400 is about 201.3278314750.

The spelling of 8160400 in words is "eight million, one hundred sixty thousand, four hundred".