6863400 has 192 divisors, whose sum is σ = 24998400. Its totient is φ = 1728000.

The previous prime is 6863383. The next prime is 6863419. The reversal of 6863400 is 43686.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 167380 + ... + 167420.

It is an arithmetic number, because the mean of its divisors is an integer number (130200).

Almost surely, 2^6863400 is an apocalyptic number.

6863400 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 6863400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12499200).

6863400 is an abundant number, since it is smaller than the sum of its proper divisors (18135000).

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

6863400 is a wasteful number, since it uses less digits than its factorization.

6863400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6863400 is about 2619.8091533545. The cubic root of 6863400 is about 190.0406192011.

The spelling of 6863400 in words is "six million, eight hundred sixty-three thousand, four hundred".