6141984 has 48 divisors (see below), whose sum is σ = 16275168. Its totient is φ = 2028032.

The previous prime is 6141983. The next prime is 6142033. The reversal of 6141984 is 4891416.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (6141983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12919 + ... + 13385.

It is an arithmetic number, because the mean of its divisors is an integer number (339066).

Almost surely, 2^6141984 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 6141984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8137584).

6141984 is an abundant number, since it is smaller than the sum of its proper divisors (10133184).

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

6141984 is a wasteful number, since it uses less digits than its factorization.

6141984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 609 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 6141984 is about 2478.3026449568. The cubic root of 6141984 is about 183.1342441178.

The spelling of 6141984 in words is "six million, one hundred forty-one thousand, nine hundred eighty-four".