6861400 has 144 divisors (see below), whose sum is σ = 20422800. Its totient is φ = 2096640.

The previous prime is 6861397. The next prime is 6861401. The reversal of 6861400 is 41686.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6861401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 236586 + ... + 236614.

It is an arithmetic number, because the mean of its divisors is an integer number (141825).

Almost surely, 2^6861400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6861400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10211400).

6861400 is an abundant number, since it is smaller than the sum of its proper divisors (13561400).

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

6861400 is a wasteful number, since it uses less digits than its factorization.

6861400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 6861400 is about 2619.4274183493. The cubic root of 6861400 is about 190.0221580806.

It can be divided in two parts, 686 and 1400, that multiplied together give a square (960400 = 980²).

The spelling of 6861400 in words is "six million, eight hundred sixty-one thousand, four hundred".