8401600 has 84 divisors (see below), whose sum is σ = 21259800. Its totient is φ = 3266560.

The previous prime is 8401573. The next prime is 8401633. The reversal of 8401600 is 61048.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94356 + ... + 94444.

Almost surely, 2^8401600 is an apocalyptic number.

8401600 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 8401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10629900).

8401600 is an abundant number, since it is smaller than the sum of its proper divisors (12858200).

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

8401600 is a wasteful number, since it uses less digits than its factorization.

8401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 155 counting only the distinct ones).

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

The square root of 8401600 is about 2898.5513623188. The cubic root of 8401600 is about 203.2921771640.

Adding to 8401600 its reverse (61048), we get a palindrome (8462648).

The spelling of 8401600 in words is "eight million, four hundred one thousand, six hundred".