6860400 has 60 divisors (see below), whose sum is σ = 21979992. Its totient is φ = 1829120.

The previous prime is 6860389. The next prime is 6860419. The reversal of 6860400 is 40686.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1659 + ... + 4058.

Almost surely, 2^6860400 is an apocalyptic number.

6860400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6860400 is an abundant number, since it is smaller than the sum of its proper divisors (15119592).

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

6860400 is a wasteful number, since it uses less digits than its factorization.

6860400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5738 (or 5727 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 6860400 is about 2619.2365299835. The cubic root of 6860400 is about 190.0129261751.

It can be divided in two parts, 6860 and 400, that multiplied together give a cube (2744000 = 140³).

The spelling of 6860400 in words is "six million, eight hundred sixty thousand, four hundred".