6139800 has 120 divisors (see below), whose sum is σ = 21380700. Its totient is φ = 1632960.

The previous prime is 6139789. The next prime is 6139807. The reversal of 6139800 is 89316.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6139807) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 16011 + ... + 16389.

Almost surely, 2^6139800 is an apocalyptic number.

6139800 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 6139800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10690350).

6139800 is an abundant number, since it is smaller than the sum of its proper divisors (15240900).

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

6139800 is a wasteful number, since it uses less digits than its factorization.

6139800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 6139800 is about 2477.8619816285. The cubic root of 6139800 is about 183.1125349217.

The spelling of 6139800 in words is "six million, one hundred thirty-nine thousand, eight hundred".