6896400 has 120 divisors (see below), whose sum is σ = 25278144. Its totient is φ = 1574400.

The previous prime is 6896399. The next prime is 6896423. The reversal of 6896400 is 46986.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7990 + ... + 8810.

Almost surely, 2^6896400 is an apocalyptic number.

6896400 is a gapful number since it is divisible by the number (60) 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 6896400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12639072).

6896400 is an abundant number, since it is smaller than the sum of its proper divisors (18381744).

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

6896400 is a wasteful number, since it uses less digits than its factorization.

6896400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 6896400 is about 2626.0997696203. The cubic root of 6896400 is about 190.3447112494.

The spelling of 6896400 in words is "six million, eight hundred ninety-six thousand, four hundred".