6156000 has 240 divisors, whose sum is σ = 23783760. Its totient is φ = 1555200.

The previous prime is 6155987. The next prime is 6156037. The reversal of 6156000 is 6516.

6156000 is a `hidden beast` number, since 61 + 5 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 323991 + ... + 324009.

It is an arithmetic number, because the mean of its divisors is an integer number (99099).

Almost surely, 2^6156000 is an apocalyptic number.

6156000 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 6156000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11891880).

6156000 is an abundant number, since it is smaller than the sum of its proper divisors (17627760).

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

6156000 is a wasteful number, since it uses less digits than its factorization.

6156000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 6156000 is about 2481.1287753762. The cubic root of 6156000 is about 183.2734423287.

The spelling of 6156000 in words is "six million, one hundred fifty-six thousand".